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Solve $$\int_0^1\int_0^u(tan^2x+y)^{1\over2}dxdy$$ where $0<u<{\pi\over2}$

My attempt was to use Fubini's thm, but when I solved this $$\int_0^{\pi\over2}\int_0^1(tan^2x+y)^{1\over2}dydx$$ I got a few undefined terms. I assume my limits of integeration is wrong, but i cannot understand why.

  • the limit is certainly wrong (why did $u$ turn into \frac{\pi}{2}$? That being said, im not sure how to do this. the antiderivatives are terrible pretty much anyway you do it – operatorerror Jan 07 '18 at 20:19

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