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Math Help - Quick integration question

  1. #1
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    Quick integration question

    How do you integrate 1/( sqrt(x)*(1+x) )

    Sorry for not doing the latex thing.
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  2. #2
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    Notice it's the product of 1/stuff and 1/(1+ the square of that stuff)

    (and 1/(1 + a square) is a standard integrand)
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  3. #3
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    Quote Originally Posted by tom@ballooncalculus View Post
    Notice it's the product of 1/stuff and 1/(1+ the square of that stuff)

    (and 1/(1 + a square) is a standard integrand)
    there's no square
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  4. #4
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    Just in case a picture helps...



    ... where



    ... is the chain rule, and you're looking for F. Straight continuous lines differentiate downwards (integrate up) with respect to x, and the straight dashed line similarly but with respect to the dashed balloon expression (which is the inner function of the composite and hence subject to the chain rule).



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  5. #5
    Super Member Matt Westwood's Avatar
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    Quote Originally Posted by TitaniumX View Post
    there's no square
    Yes there is, there's a square of \sqrt x.
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