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Math Help - Tricky Integral (for me anyway)

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    Tricky Integral (for me anyway)

    I am trying to figure this out and am stumped at the moment.

    Find the integral of 1/(x^.5+1). Using U substitution I now have 2U/U+1. I know ln|U+1| is in the answer but I can't figure out what to do about the numerator.
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    Quote Originally Posted by p75213 View Post
    I am trying to figure this out and am stumped at the moment.

    Find the integral of 1/(x^.5+1). Using U substitution I now have 2U/U+1. I know ln|U+1| is in the answer but I can't figure out what to do about the numerator.
    Divide 2U by U+1 to get 2-\frac{2}{u+1}

    Now integrate
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    Quote Originally Posted by p75213 View Post
    I am trying to figure this out and am stumped at the moment.

    Find the integral of 1/(x^.5+1). Using U substitution I now have 2U/U+1. I know ln|U+1| is in the answer but I can't figure out what to do about the numerator.
    now only ln|U+1|, there is one more term in your answer.. look at the post above by ione and do the integration:

    2 (\int 1 - \frac{1}{u+1} du)
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    Thanks guys. The long division was the key.
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