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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Originally Posted by Zolroth 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? $\displaystyle \int_{y = 0}^{y=1} \int_{x = 5y}^{x = 5} e^{x^2} \, dx \, dy = \int_{x = 0}^{x=5} \int_{y=0}^{y = x/5} e^{x^2} \, dy \, dx$. After first intergating wrt y you're left with a very doable integral in x.
Originally Posted by Zolroth 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. Change the order an integrate with respect to y first to get $\displaystyle \int_{0}^{5}\int_{0}^{\frac{1}{5}x}e^{x^2}dydx$ I'm too slow
Originally Posted by TheEmptySet Here is your region of integration. Change the order an integrate with respect to y first to get $\displaystyle \int_{0}^{5}\int_{0}^{\frac{1}{5}x}e^{x^2}dydx$ I'm too slow Only because I didn't include a beautiful diagram
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