200以上 double integral of e^(-x^2-y^2) 817685-Double integral of exp(-x^2 - y^2)

Question Solve The Double Integral Of E^(x^3) Dx Dy X From Sqrt(y) To 2, Y From 0 To 4 This problem has been solved!Mar 12, 15 · How do you calculate the double integral of #f(x,y) = 28y(e^x)# over the triangle indicated by the following points (0,0), (4,1), and (4,3)?To have two limits in double integral?

Integration Of E X 2 Page 3 Line 17qq Com

Integration Of E X 2 Page 3 Line 17qq Com

Double integral of exp(-x^2 - y^2)

Double integral of exp(-x^2 - y^2)-A surface integral generalizes double integrals to integration over a surface (which may be a curved set in space);Dx $$ a) Sketch the region of integration b) Convert the double integral into a Type II double integral

Solved Show How To Calculate The Iterated Integral Integ Chegg Com

Solved Show How To Calculate The Iterated Integral Integ Chegg Com

Feb 19, 18 · int_2^3 \ e^(x^2) \ dx ~~ This cannot be computed using known elementary functions It would require a numerical approximation Using such a method we obtain int_2^3 \ e^(x^2) \ dx ~~Double integration in R with additional argument But I'm still confused how I can get my question from those answers My question is following I would like to code this calculations in R From my hand and Wolfram alpha calculation, it becomes 1664 I know how to take a integral if both integrals are from exact numbers using adaptIntegrate()Get the free "Polar Integral Calculator" widget for your website, blog, Wordpress, Blogger, or iGoogle Find more Mathematics widgets in WolframAlpha

My dear friend The integration of e to the power x of a function is a general formula of exponential functions and this formula needs a derivative of the given function This formula is important in integral calculus The integration of e to the pSolution for Given the double integral ffp(ry)e** v° dxdy, where D = {(x, y) 0 < xyOct 11, 12 · The integrand is separableie a function of x times a function of y So the double integral is the product of the integrals 1 ∫ e^(3x) dx = (1/3)(e 1)

As the night goes on the indefinite integral offers to buy the two another round, but the definite integral politely declinesCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyJun 07,  · Calculating double integral for exponential function Follow 6 views (last 30 days) Malena Vasquez on 7 Jun Vote 0 ⋮ Vote 0 Commented Malena Vasquez on 7 Jun Accepted Answer madhan ravi Hi everyone!

Linear Algebra Sheet 6 Summer 19 Studocu

Linear Algebra Sheet 6 Summer 19 Studocu

Solved A Using Polar Coordinates Evaluate The Improper Chegg Com

Solved A Using Polar Coordinates Evaluate The Improper Chegg Com

Calculate the double integral R={(x,y) 0 (less than or equal to) x (less than or equal to) 4, 0 (less than or equal to) y (less than or equal to) 1} *Response times vary by subject and question complexity Median response time is 34 minutes and may beSep 21, 05 · double integral sign The double integral sign is used to indicate mathematical integration performed twice in succession Double integrals are used to calculate the integral s of function s in two variable s An example is the volume under a surface inIt can be thought of as the double integral analog of the line integral The function to be integrated may be a scalar field or a vector field The value of the surface integral is the sum of the field at all points on the surface

Double Integration

Double Integration

Archive Image From Page 27 Of Directivity Function Of A General Directivity Function Of A General Receiving Array For Spherical And Plane Sound Waves Directivityfunct00warn Year 1961 B Rectangular Area Applying Equation

Archive Image From Page 27 Of Directivity Function Of A General Directivity Function Of A General Receiving Array For Spherical And Plane Sound Waves Directivityfunct00warn Year 1961 B Rectangular Area Applying Equation

To change variables in a double integral such as $$\iint_\dlr f(x,y) dA,$$ one uses a mapping of the form $(x,y) = \cvarf(\cvarfv,\cvarsv)$ This function maps some region $\dlr^*$ in the $(\cvarfv,\cvarsv)$ coordinates into the original region $\dlr$ of the integral in $(x,y)$ coordinatesCalculus Introduction to Integration Integrals of Exponential Functions 1 Answer Gió Mar 12, 15 Try this hope it helps Answer linkWhile simulating the value of a double integral , why do we need to draw different samples everytime?

Evaluate A Double Integral Over A General Region With Substitution F X Y E X Y Youtube

Evaluate A Double Integral Over A General Region With Substitution F X Y E X Y Youtube

Solved Question 2 5 Points Compute The Double Integral Chegg Com

Solved Question 2 5 Points Compute The Double Integral Chegg Com

Then, via the usage of these outcomes, theConsider the double integral $$\int_0^1 \int_0^{e^x} \sqrt{1 e^x} \;Sep 11, 10 · You have a double integral For the inside integral, you are integrating with respect to y (hence dy) Everything except y's are treated as constants So pretend x is like the number 2 thus INT (xe^(xy)dy) becomes x* int (e^xy)dy What is the integral of e^(2x) that is e^2x /2 c Thus the inner integral becomes x*1/x *e^(xy) C1

Btech Ii Engineering Mathematics Unit3

Btech Ii Engineering Mathematics Unit3

Solved Use Polar Coordinates To Evaluate The Double Integ Chegg Com

Solved Use Polar Coordinates To Evaluate The Double Integ Chegg Com

Jun 05, 04 · An integral representation of a function is an expression of the function involving a contour integral Various integral representations are known for many special functions Integral representations can be important for theoretical reasons, eg giving analytic continuation or functional equations, or sometimes for numerical evaluationsThe integral I calculated was $$\int_0^y\int_x^\infty e^{(xy)}dydx$$Consider the doubleintegral Where is bounded by the lines Because x is raised to a higher power in one of the equations and y is not, I will set up y as a function of x Now equate the lines and The region is and Chapter 153, Problem 18E is solved View this answer View this answer View this answer done loading

Express Each Double Integral Over The Given Region R As An Iterated Integral Integral Triangle

Express Each Double Integral Over The Given Region R As An Iterated Integral Integral Triangle

Answered In 7 Sovle V 2 Sin 2 E 1 Bartleby

Answered In 7 Sovle V 2 Sin 2 E 1 Bartleby

The convolution theorem with an evidence is mentioned;Double integral definition, an integral in which the integrand involves a function of two variables and that requires two applications of the integration process to evaluate See moreBackground Cellulite is a serious cosmetic concern for most of the 90% of women affected by it Objective To assess the clinical efficacy of a complex integral anticellulite gel Methods This doubleblind, randomized, placebocontrolled study involved 44 healthy women, aged 2555 years Subjects had a normal to slightly overweight body mass index and presented slight to moderate

Integration Of E X 2 Page 3 Line 17qq Com

Integration Of E X 2 Page 3 Line 17qq Com

Integral Of Xy 2 Page 1 Line 17qq Com

Integral Of Xy 2 Page 1 Line 17qq Com

Should I convince my advisor that thesis work is not finished yetI'm trying to calculate this integral using Matlab but, being a beginner, I'm struggling a bitOct 11, 12 · integralIntegral(e^(3x4y))dydx first integrate wrt y so we are left with Integral( e^(3x)*e^(4y)/4)dx now integrate wrt x e^(3x4y)/12 C

What Is The Integration Of E X 2 Dx Over The Limit From 0 To 1 How Do You Solve It Quora

What Is The Integration Of E X 2 Dx Over The Limit From 0 To 1 How Do You Solve It Quora

Evaluate The Double Integral Double Integral X 2 2y Da D Is Bounded By Y X Y X 3 X 0 Homework Help And Answers Slader

Evaluate The Double Integral Double Integral X 2 2y Da D Is Bounded By Y X Y X 3 X 0 Homework Help And Answers Slader

Double integral 1 Double integrals 2 Practice Iterated integrals Double integrals 3 Double integrals 4 Double integrals 5 Double integrals 6 Practice Double integrals with variable bounds This is the currently selected item Practice Finding bounds of regionsHot Network Questions Drawing a person in LaTeX Can any liquid food be beaten into a mousse?The primary purpose of this research is to demonstrate an efficient replacement double transform named the Laplace–Sumudu transform (DLST) to unravel integral differential equations The theorems handling fashionable properties of the Laplace–Sumudu transform are proved;

Exponentiation Wikipedia

Exponentiation Wikipedia

Solved Given A Double Integral Int R Square X 2 Y 2 Dxd Chegg Com

Solved Given A Double Integral Int R Square X 2 Y 2 Dxd Chegg Com

Aug 05, 07 · it's a double integration problem, i don't know how to make all the symbols and such so this might be a little bit confusing to read it's the integral from 0 to 1, the integral from 0 to y^2 of (3y^3 e^xy) dx dy so the integral from 0 to y^2 of (3y^3 e^xy) dx i set u=xy (1/y)du=dx after iE iθ has, as its real and imaginary components, cos(θ) and sin(θ) respectively Now E niθ is the same as E iθ raised to the n th power Expand (csi) n and see what you get The real component is the cosine of nθ, and that happens to be every other term, starting with c n, with alternate terms negated Similarly, sin(nθ) is the imaginaryDec 11, 12 · The 'graphical method' is the method Try and draw the domain of integration It's just a triangle that is the upper half of a square If you want to get the answer without using the Si function, integrate over the whole square and then subtract the integral over the lower half of the square Both are pretty easy

Express The Double Integral In Terms Of A Single Integral With Respect To R Then Use Your Calculator To Evaluate The Integral Correct To Four Decimal Places D E X 2 Y 2 2 Da Where D

Express The Double Integral In Terms Of A Single Integral With Respect To R Then Use Your Calculator To Evaluate The Integral Correct To Four Decimal Places D E X 2 Y 2 2 Da Where D

Double Integration

Double Integration

Aug 17, 13 · double integral of e^y/x dy dx with outer limits as 0 and 1 and inner limits 0 and x^2?My result of the double integral was $((e^{2y})/2) (1/2)$ I suspect that how I set up the double integral was the source of the problem How should it have looked?What is the difference between Dogecoin and Bitcoin at the network level?

Video3196 Double Integrals X 2e Xy Practice Youtube

Video3196 Double Integrals X 2e Xy Practice Youtube

Integration By Parts Wikipedia

Integration By Parts Wikipedia

The complete elliptic integral of the second kind E is defined as = ⁡ =,or more compactly in terms of the incomplete integral of the second kind E(φ,k) as = (,) = (;)For an ellipse with semimajor axis 2, the complete elliptic integral of the second kind E(e) is equal to one quarter of the circumference c of the ellipse measuredThe double integrals are the way to integrate over the two dimensional area The double integrals allows to compute the volume of the surface under the curve They have two variables and considers the f(x,y) function in three dimensional space FinalWords∫∫e 5x5y dxdy = ∫ ln4 ln7 e 5x dx∫ 0 5 e 5y dy = 1/5e 5x ln4 ln7 ·(1/5)e 5y 0 5 = 1/5(7 5 4 5)( 1/5)(e 25 1) =

Solved Question 2 5 Points Compute The Double Integral Chegg Com

Solved Question 2 5 Points Compute The Double Integral Chegg Com

Gaussian Integral Wikipedia Republished Wiki 2

Gaussian Integral Wikipedia Republished Wiki 2

Let's see if we can take the integral of cosine of 5x over e to the sine of 5x DX and there's a crow squawking outside of my window so I'll try to stay focused so let's think about whether u substitution might be appropriate your first temptation might decide hey maybe we let u equal sine of 5x and if u is equal to sine of 5x we have something that's pretty close to D u up here let'sIf the region $\dlr$ is not a rectangle, we can still convert the double integral into one or more iterated integrals In this case, the limits of integration will be a little more complicated Rather than attempt to introduce the general theory, we'll just present how to do these using examplesThe indefinite integral takes a seat next to the definite integral, and as they chat, they find they have a lot in common!

4 Evaluate The Double Integral By Making An Appropriate Change Of Variables A X Y E 1 Da Where D Is The Rectangle Bounded By The Lines R Y 0 R Y 2 R Y

4 Evaluate The Double Integral By Making An Appropriate Change Of Variables A X Y E 1 Da Where D Is The Rectangle Bounded By The Lines R Y 0 R Y 2 R Y

Solved Evaluate Doubleintegral R Sin Y Y D A Where R 0 L Chegg Com

Solved Evaluate Doubleintegral R Sin Y Y D A Where R 0 L Chegg Com

Answer to Evaluate the double integral, integral_0^8 integral_{cube root of {y}}^2 e^{x^4} dx dy By signing up, you'll get thousands ofSee the answer Solve the double integral of e^(x^3) dx dy x from sqrt(y) to 2, y from 0 to 4 Best Answer 100% (1 rating) Previous question Next questionWhat is double integral?

Several Variable Calculus

Several Variable Calculus

Btech Ii Engineering Mathematics Unit3

Btech Ii Engineering Mathematics Unit3

A MAGNETIC DOUBLE INTEGRAL Volume 107 Issue 1 In a recent study of how the output voltage of a Hall plate is affected by the shape of the plate and the size of its contacts, U Ausserlechner has come up with a remarkable double integral that can be viewed as a generalisation of the classical elliptic 'arithmetic–geometric mean (AGM)' integralIterated Double Integral in Cartesian Coordinates Description Compute the iterated double integral in Cartesian coordinates Iterated Double Integral in Cartesian Coordinates Integrand Region Inert integral Value Stepwise Evaluation Commands Used1/12 (π^2 3 ArcCosh7/2 ArcCsch2 12 ArcTanh1/Sqrt5^2) is a supposed value for the double integral It is not obvious whether the integral exists and that result is right Of course, your transformation leads to Pi^2/12 $\endgroup$ – user Jul 14 ' at 1519

Double Integration

Double Integration

Solving Double And Triple Definite Integrals Mathematics Stack Exchange

Solving Double And Triple Definite Integrals Mathematics Stack Exchange

Ask Question Asked 7 years, 4 months ago Active 4 years, 4 months ago Viewed 50k times 16 3 My tex \begin{equation} \iint \limits_{\infty}^{\infty} \end{equation} It looks like I want two limits there above and below How can you have two limits above and below the two integrals?Apr 17, 21 · Double Integral $\iint e^\frac{xy}{xy} \,dx \,dy$ solution Ask Question Asked 5 days ago Active 3 days ago Viewed 99 times 4 2 $\begingroup$ In the

2tanit 2uhlif 2 3 Points Set Up 2 Integrals Of F A Y Z Variable First Where E Is The Solid In The First Homeworklib

2tanit 2uhlif 2 3 Points Set Up 2 Integrals Of F A Y Z Variable First Where E Is The Solid In The First Homeworklib

Answers To The Review Problems For The First Exam 251 05 10 In Spring 06

Answers To The Review Problems For The First Exam 251 05 10 In Spring 06

Oneclass Double Integral Of Y 2 E Xy Over Region D D Is Bounded By Y X Y 4 X 0

Oneclass Double Integral Of Y 2 E Xy Over Region D D Is Bounded By Y X Y 4 X 0

How To Calculate This Double Integral In Probability Mathematics Stack Exchange

How To Calculate This Double Integral In Probability Mathematics Stack Exchange

Evaluate The Given Integral By Changing To Polar Coordinates Double Integral E X 2 Y 2 Da Where D Is The Region That Lies To The Left Of The Y Axis Between The Circles X 2 Y 2

Evaluate The Given Integral By Changing To Polar Coordinates Double Integral E X 2 Y 2 Da Where D Is The Region That Lies To The Left Of The Y Axis Between The Circles X 2 Y 2

Integral Calculator Integrate With Wolfram Alpha

Integral Calculator Integrate With Wolfram Alpha

Double Integration

Double Integration

Btech Ii Engineering Mathematics Unit3

Btech Ii Engineering Mathematics Unit3

5 Double Integrals Over Rectangular Regions Pdf Free Download

5 Double Integrals Over Rectangular Regions Pdf Free Download

Solved Double Integrate D X Y E X 2 Y 2dxdy Where D Chegg Com

Solved Double Integrate D X Y E X 2 Y 2dxdy Where D Chegg Com

Solved Change The Cartesian Integral Integral Ln 3 0 Inte Chegg Com

Solved Change The Cartesian Integral Integral Ln 3 0 Inte Chegg Com

Solved Question 2 5 Points Compute The Double Integral Chegg Com

Solved Question 2 5 Points Compute The Double Integral Chegg Com

Solved Show How To Calculate The Iterated Integral Integ Chegg Com

Solved Show How To Calculate The Iterated Integral Integ Chegg Com

Solved 8 Use Spherical Coordinates To Evaluate The Follo Chegg Com

Solved 8 Use Spherical Coordinates To Evaluate The Follo Chegg Com

Consider 1 E 0 Ln X 1 X E 1 Y 2 Dydx Sketch The Region Of Integration And Then Evaluate The Integral Study Com

Consider 1 E 0 Ln X 1 X E 1 Y 2 Dydx Sketch The Region Of Integration And Then Evaluate The Integral Study Com

Document

Document

Evaluate The Integral Int 3 3 Int 0 Sqrt 9 X 2 E X 2 Y 2 Dy Dx Study Com

Evaluate The Integral Int 3 3 Int 0 Sqrt 9 X 2 E X 2 Y 2 Dy Dx Study Com

Solved Evaluate The Iterated Integral By Converting To Po Chegg Com

Solved Evaluate The Iterated Integral By Converting To Po Chegg Com

What Is The Double Integral Of F X Y E X Y When R Is The Area Bounded By Y X 1 Y X 1 Y 1 X Y 1 X How To Find R Enotes Com

What Is The Double Integral Of F X Y E X Y When R Is The Area Bounded By Y X 1 Y X 1 Y 1 X Y 1 X How To Find R Enotes Com

Solved Evaluate Double Integrate E X 2 Y 2 Dydx Chegg Com

Solved Evaluate Double Integrate E X 2 Y 2 Dydx Chegg Com

Solved Compute The Following Double Integrals Sketch The Chegg Com

Solved Compute The Following Double Integrals Sketch The Chegg Com

Evaluating Double Integrals

Evaluating Double Integrals

Answered Express The Double Integral 1 X Da Bartleby

Answered Express The Double Integral 1 X Da Bartleby

Computing Integrals Springerlink

Computing Integrals Springerlink

Definite Improper And Multiple Integration Stack Overflow

Definite Improper And Multiple Integration Stack Overflow

Calc3 1001 By James Bardo Issuu

Calc3 1001 By James Bardo Issuu

Math Double Integrals Ppt Download

Math Double Integrals Ppt Download

5 Double Integrals Over Rectangular Regions Pdf Free Download

5 Double Integrals Over Rectangular Regions Pdf Free Download

Btech Ii Engineering Mathematics Unit3

Btech Ii Engineering Mathematics Unit3

Solved Evaluate The Double Integral Doubleintegral R E Chegg Com

Solved Evaluate The Double Integral Doubleintegral R E Chegg Com

Solved Consider The Double Integral E Y 2 Dydx Sketch Th Chegg Com

Solved Consider The Double Integral E Y 2 Dydx Sketch Th Chegg Com

Solved Consider The Improper Double Integral Integral I Chegg Com

Solved Consider The Improper Double Integral Integral I Chegg Com

Integration By Parts Wikipedia

Integration By Parts Wikipedia

Double Integration

Double Integration

Btech Ii Engineering Mathematics Unit3

Btech Ii Engineering Mathematics Unit3

Double Integration

Double Integration

Evaluate The Double Integral Of Exp X 2 Y 2 Where The Solid Is The Half Circle Given By X 2 Y 2 4 And X Y 0 Mathematics Stack Exchange

Evaluate The Double Integral Of Exp X 2 Y 2 Where The Solid Is The Half Circle Given By X 2 Y 2 4 And X Y 0 Mathematics Stack Exchange

Btech Ii Engineering Mathematics Unit3

Btech Ii Engineering Mathematics Unit3

Solved Evaluate The Double Integral E X 2 Y 2 Da Where Chegg Com

Solved Evaluate The Double Integral E X 2 Y 2 Da Where Chegg Com

Double Integral Evaluate E X 2 Y 2 Da Bounded By X 4 X 2 And Y Axis Youtube

Double Integral Evaluate E X 2 Y 2 Da Bounded By X 4 X 2 And Y Axis Youtube

Double Integration

Double Integration

Btech Ii Engineering Mathematics Unit3

Btech Ii Engineering Mathematics Unit3

Btech Ii Engineering Mathematics Unit3

Btech Ii Engineering Mathematics Unit3

Double Integrals By Using Monte Carlo Methods The Do Loop

Double Integrals By Using Monte Carlo Methods The Do Loop

Integration Using Euler S Formula Wikipedia

Integration Using Euler S Formula Wikipedia

What S Wrong With This Scipy Double Integral Integrate Dblquad Call

What S Wrong With This Scipy Double Integral Integrate Dblquad Call

Solved Use Polar Coordinates To Evaluate The Double Integ Chegg Com

Solved Use Polar Coordinates To Evaluate The Double Integ Chegg Com

Solved Evaluate Triple Integral E X 2 Y 2 Z 2 Dx D Chegg Com

Solved Evaluate Triple Integral E X 2 Y 2 Z 2 Dx D Chegg Com

Evaluate The Given Integral By Changing To Polar Coordinates Double Integral Exp X 2 Y 2 Da Where D Is The Region Bounded By The Semicircle X 4 Y 2 1 2 And The Y Axis Homework Help And Answers

Evaluate The Given Integral By Changing To Polar Coordinates Double Integral Exp X 2 Y 2 Da Where D Is The Region Bounded By The Semicircle X 4 Y 2 1 2 And The Y Axis Homework Help And Answers

Btech Ii Engineering Mathematics Unit3

Btech Ii Engineering Mathematics Unit3

Double Integral E X Y 2 With Outer Limits 1 And 2 And Inner Limits 0 And Y 2 Brainly In

Double Integral E X Y 2 With Outer Limits 1 And 2 And Inner Limits 0 And Y 2 Brainly In

Solved Evaluate The Iterated Integral Integral 1 2 Integ Chegg Com

Solved Evaluate The Iterated Integral Integral 1 2 Integ Chegg Com

Consider Evaluating The Integral I Integral 2 Y Chegg Com

Consider Evaluating The Integral I Integral 2 Y Chegg Com

Double Integration

Double Integration

Answered Set Up Double Integrals To Compute The Bartleby

Answered Set Up Double Integrals To Compute The Bartleby

Calculate The Double Integral Iint R X Y 2 E X 2 Y 2 Dx Dy Where R Is The Square With Vertices 6 0 0 6 6 0 0 6 Study Com

Calculate The Double Integral Iint R X Y 2 E X 2 Y 2 Dx Dy Where R Is The Square With Vertices 6 0 0 6 6 0 0 6 Study Com

Dy Integral Page 1 Line 17qq Com

Dy Integral Page 1 Line 17qq Com

Math1 E Set 13 Match Each Double Integral In Polar With The Graph Of The Region Of Integration 1 1 Pt Convert The Integral Below To Polar Course Hero

Math1 E Set 13 Match Each Double Integral In Polar With The Graph Of The Region Of Integration 1 1 Pt Convert The Integral Below To Polar Course Hero

5 Double Integrals Over Rectangular Regions Pdf Free Download

5 Double Integrals Over Rectangular Regions Pdf Free Download

Double Integral Of Y 2 E X 4 Learnmathsfree Youtube

Double Integral Of Y 2 E X 4 Learnmathsfree Youtube

Evaluate The Surface Integral Double Integral F Ds Where F E X Cos Yz X 2 Y Z 2 E 2x And S Is A Part Of Th Homeworklib

Evaluate The Surface Integral Double Integral F Ds Where F E X Cos Yz X 2 Y Z 2 E 2x And S Is A Part Of Th Homeworklib

Gaussian Integral Wikipedia Republished Wiki 2

Gaussian Integral Wikipedia Republished Wiki 2

Integral Calculator Integrate With Wolfram Alpha

Integral Calculator Integrate With Wolfram Alpha

Evaluate The Integral Double Integral R E Max X 2 Y 2 Da Where R 0 1 Times 0 1 And Max X 2 Y 2 Gives The Larger Of X 2 And Y 2 Study Com

Evaluate The Integral Double Integral R E Max X 2 Y 2 Da Where R 0 1 Times 0 1 And Max X 2 Y 2 Gives The Larger Of X 2 And Y 2 Study Com

What Is The Integration Of E X 2 Dx Over The Limit From 0 To 1 How Do You Solve It Quora

What Is The Integration Of E X 2 Dx Over The Limit From 0 To 1 How Do You Solve It Quora

Solved 9 Evaluate The Double Integral X Y Da Whe Chegg Com

Solved 9 Evaluate The Double Integral X Y Da Whe Chegg Com

Solved Question 2 5 Points Compute The Double Integral Chegg Com

Solved Question 2 5 Points Compute The Double Integral Chegg Com

Incoming Term: double integral of e^(-x^2-y^2), double integral of exp(-x^2 - y^2), double integral of e^max(x^2 y^2), double integral e^-(x^2+y^2)da, double integral e^-(x^2+y^2)dxdy,

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