Question

Find the indefinite integral of (1-sqrtx)/(1+sqrtx)dx

I just worked completely through this problem using substitution (u=1+sqrtx) and came to the answer 3+4sqrtx+x+C.

This is incorrect. Not sure where I messed up.

Answer 1

well, first multiply top and bottom by
(1 - sqrt x)

(1-sqrt x)^2
------------ dx
1 - x




(1- 2 sqrt x )^2
------------ dx
1 - x

dx/(1-x) - 2 x^.5 dx/(1-x) + 4 x dx/(1-x)

Answer 2

now go to
http://www.wolframalpha.com/input/?i=integrate+x%2F%281-x%29