Question

I have tried this integral but I can't get it right 2 sin y^2 dy from (pi/2)^1/2 to x. Can you help me?

Answer 1

type what u did

Answer 2

It's too long but I used u substitution for x^2, so I got sen u du/2y

Answer 3

Is this the integral?
\[
\int_{\left(\frac{\pi}{2}\right)^{1/2}}^x 2\sin^2\left(y^2\right)\,dy
\]
Is this question asking for something like this?
\[
\frac{d}{dx}\int_{\left(\frac{\pi}{2}\right)^{1/2}}^x 2\sin^2\left(y^2\right)\,dy
\]