Hi,

I am having trouble evaluating the indefinite integral of the following problem using U-substitution. The answer at the back of the book is2sin square root of t + C. I'm not sure what U should be. Any assistance will be appreciated. Thanks in advance.

1. The problem statement, all variables and given/known data

Evaluate the indefinite integral

2. Relevant equations

integral of cos * (square root of t) / (square root of t) dt

3. The attempt at a solution

integral of cos * (square root of t) / (square root of t) dt

Let U = ?

Lets say U = cos * (square root of t)

du = sin * (square root of t) dx

This does not make any sense to me. Im I going right? Where did I go wrong?