- #1

ArmandStarks

- 2

- 0

## Homework Statement

The problem is this:

∫[√x /(1+x)] dx

I used sustitution method

u= √x

u^2=x

2udu=dx

## Homework Equations

My new integral is:

∫[(u*2udu)/(1+u^2)]du

2∫[u^2/(1+u^2)]du

I need help to reduce this point to continue, I guess I need some algebraic steps

## The Attempt at a Solution

**The book shows: x^3/3 -3x - 10Ln|x-5| + C as the answer but I think this is wrong because I don't have x-5 anywhere**