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Math Help - Integration Help

  1. #1
    Member iPod's Avatar
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    Integration Help

    I cannot get the right integral for the following function, help or hints would be appreciated.

    \int\frac{\sqrt{x}}{x+1}dx
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  2. #2
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    Quote Originally Posted by iPod View Post
    I cannot get the right integral for the following function, help or hints would be appreciated.

    \int\frac{\sqrt{x}}{x+1}dx


    Try the substitution x=u^2\Longrightarrow dx=2ydy and etc.

    Tonio
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  3. #3
    Member iPod's Avatar
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    OH rite, I see where i was going wrong,
    i managed to get

    2\sqrt{x}+2atan(\sqrt{x})+C


    ^i believe that is correct?
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  4. #4
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    Quote Originally Posted by iPod View Post
    OH rite, I see where i was going wrong,
    i managed to get

    2\sqrt{x}+2atan(\sqrt{x})+C

    ^i believe that is correct?

    Indeed...if by "atan" you actually meant "arctan". But you don't need to ask: just derivate the result and confirm

    you get the original function in the integral.

    Tonio
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