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Math Help - Vector Calculus problem

  1. #1
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    Vector Calculus problem

    I have no idea how to solve it. Obviously there is a way to get around imaginary integration. But i dont know how.



    Thanks!
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  2. #2
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    Quote Originally Posted by Zolroth View Post
    I have no idea how to solve it. Obviously there is a way to get around imaginary integration. But i dont know how.
    [snip]
    Thanks!
    Did you draw the region of integration?

    \int_{y = 0}^{y=1} \int_{x = 5y}^{x = 5} e^{x^2} \, dx \, dy = \int_{x = 0}^{x=5} \int_{y=0}^{y = x/5} e^{x^2} \, dy \, dx.

    After first intergating wrt y you're left with a very doable integral in x.
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  3. #3
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    Quote Originally Posted by Zolroth View Post
    I have no idea how to solve it. Obviously there is a way to get around imaginary integration. But i dont know how.



    Thanks!
    Here is your region of integration.

    Vector Calculus problem-int.jpg


    Change the order an integrate with respect to y first to get

    \int_{0}^{5}\int_{0}^{\frac{1}{5}x}e^{x^2}dydx

    I'm too slow
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  4. #4
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    Quote Originally Posted by TheEmptySet View Post
    Here is your region of integration.

    Click image for larger version. 

Name:	int.jpg 
Views:	52 
Size:	25.6 KB 
ID:	6687


    Change the order an integrate with respect to y first to get

    \int_{0}^{5}\int_{0}^{\frac{1}{5}x}e^{x^2}dydx

    I'm too slow
    Only because I didn't include a beautiful diagram
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