Question

Can someone check my answer for the following problem?
Evaluate: the integral of [sin(x^(1/2))]/[x^(1/2)]•dx, with upper limits of pi^2 and (pi^2)/4 respectively.

Answer 1

*sorry that's not the best to look at... My iPad won't let me use equations writer.

Answer 2

\[\int\limits_{\pi^2/4 }^{\pi^2}\frac{\sin(x^\frac{1}{2})}{x^\frac{1}{2}} dx ?\]

Answer 3

Perfect!

Answer 4

\[ sin(x^1/2)/x^1/2 =sin(x^1/2) * 1/x^1/2\]So use integration by parts

Answer 5

Substitution works just fine

Answer 6

What wil u substitue?

Answer 7

u=x^1/2 <---hint

Answer 8

The top is not the derivative of the bottom

Answer 9

Oh i got it

Answer 10

Nice