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Math Help - double integral question 3

  1. #1
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    double integral question 3

    Someone help please!

    compute the double integral of the function f(x,y)= exp(x^2 + y^2) over the upper semi-circle of radius r=1. Which coordinates are more suitable for this computation?
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  2. #2
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    Quote Originally Posted by sonia1 View Post
    Someone help please!

    compute the double integral of the function f(x,y)= exp(x^2 + y^2) over the upper semi-circle of radius r=1. Which coordinates are more suitable for this computation?
    Polar

    \int_0^{\pi} \int_0^1 r e^{r^2}\, dr\,d \theta
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  3. #3
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    how did you get this could you please explain
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  4. #4
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    "upper semi-circle" means you to need to take the circle and consider the half regarding positive y axis. Now, having radius r=1, then 0\le r\le1 (this is for the polar coordinates), and then 0\le\theta\le\pi covers the angle. Sketch it.
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