1. ## Evaluating integrals

I am studying for a test and cannot figure out the answer to a few problems. Any help would be greatly appreciated!

1.) From 0 to 1: (x^1/4 + 1)^2 du

2.) From 0 to 1: sin(3piT)dt

3.) From 0 to 1: u^2 cos(u^3)du

2. Originally Posted by cam_ddrt
I am studying for a test and cannot figure out the answer to a few problems. Any help would be greatly appreciated!

1.) From 0 to 1: (x^1/4 + 1)^2 du

du ?

2.) From 0 to 1: sin(3piT)dt

let $u = 3\pi t$

$\frac{1}{3\pi} \int_0^{3\pi} \sin{u} \, du$

3.) From 0 to 1: u^2 cos(u^3)du

let $t = u^3$

$\frac{1}{3} \int_0^1 \cos{t} \, dt$
ok?