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Math Help - Integration with fractions

  1. #1
    Senior Member polymerase's Avatar
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    Integration with fractions

    \int \frac{x^3}{(x+1)^{10}}\:dx

    Thanks
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  2. #2
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    Quote Originally Posted by polymerase View Post
    \int \frac{x^3}{(x+1)^{10}}\:dx
    The substitution u=x+1 does make sense to you?
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  3. #3
    Senior Member polymerase's Avatar
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    Quote Originally Posted by Krizalid View Post
    The substitution u=x+1 does make sense to you?
    but then what do you do at \int \frac{(u-1)^3}{u^{10}}?
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  4. #4
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    (u-1)^3=u^3-3u^2+3u-1.

    Now split the original fraction into four ratios.
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  5. #5
    Senior Member polymerase's Avatar
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    Quote Originally Posted by Krizalid View Post
    (u-1)^3=u^3-3u^2+3u-1.

    Now split the original fraction into four ratios.
    Thanks never had to resub so early....
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