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.

2 answers

  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)

  2. now go to

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