(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

find [tex]\int\int_D sin\left(\frac{y}{x}\right)dA[/tex] bounded by [tex]x=0, y=\pi, x=y^2[/tex]

3. The attempt at a solution

I've only studied calculus 1, this problem is for my friend. I did read up briefly on double integrals however and this is why I'm stuck:

From the limits and where the graphs intersect, we have:

[tex]\int_0^{\pi^2}\int_{\sqrt{x}}^{\pi}sin\left(\frac{y}{x}\right)dydx[/tex]

then integrating and evaluating the inside part:

[tex]\int_0^{\pi^2}\left(-xcos\left(\frac{\pi}{x}\right)+xcos\left(\frac{1}{\sqrt{x}}\right)\right)dx[/tex]

But finding the integral of that seems impossible. I also tried reversing the order of integration, but come up with the same problem.

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# Double integral

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