Question

Indefinite integral of x/(1+sqrt(x))?

Answer 1

2sqrt(x) - 2ln(1 + sqrt(x)) + C

u = 1 + sqrt(x)

Answer 2

Jamesm, how did you get that? I didn't get anything close to that lol.

Answer 3

what did you get? try differentiating it to see if it's correct.

Answer 4

but i got 1/2sqrt(x) if i differentiate mr jamesm

Answer 5

I got:
\[\frac{2}{3}x^{\frac{3}{2}}-x+2\sqrt{x}-2\ln|\sqrt{x}+1|+C\]

Answer 6

you are correct. i integrated 1/(sqrt(x) + 1) instead. didn't read it correctly. :)

Answer 7

Oops, my fault, after jamesm previous effort I just glanced at his answer, saw the ln and his substitution and assumed it was right. So sorry.