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Math Help - Did I do this question correctly?

  1. #1
    Newbie
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    Did I do this question correctly?

    Hi, everybody. I'm currently working on a calc question, but I don't know if I have done it correctly. Can anyone please check it for me? Thanks.

    Integral x*sqrt(x+1) dx

    I used u-substitution.

    u=x+1 du=1dx

    x=u-1

    (u-1)*u^(1/2)

    u^(3/2)-u^(1/2)

    u^(5/2)/(5/2)-u^(3/2)/(3/2)

    2(x+1)^(5/2)/5 - 2(2+1)^(3/2)/3 (Final Answer)

    Is this correct?

    Thanks.
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  2. #2
    A Plied Mathematician
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    CT, USA
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    Don't forget the constant of integration! That's especially important in differential equations, where it allows you to solve initial value problems and boundary value problems. Otherwise, everything looks great.
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