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Math Help - Integration by parts

  1. #1
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    Integration by parts

    hi, i was wondering if i did a certain problem right.

    i have to integrate the following by parts:

    x * the square root of x-1

    i set u = x, u' = 1, v' = (x-1)^(1/2) and v = 2/3(x-1)^(1/2)

    then from there i got:

    x * 2/3(x-1)^(1/2) times the integral of 2/3(x-1)^(1/2)

    i integrated the 2/3(x-1)^(1/2) and got 4/9(x-1)^(3/2)

    then, i multiplied it by the x * 2/3(x-1)^(1/2).

    for a final answer, i got:

    x * 2/3(x-1)^(1/2) * 4/9(x-1)^(3/2)

    is this right or am i missing something?
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