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Thread: Integration By Parts Confirmation

  1. January 27th 2009, 07:40 PM #1
    Fallen186
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    Integration By Parts Confirmation

    Is ∫ (x*(ln(x)^4) = 4ln|x|^3-12ln|x|
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  2. January 27th 2009, 07:42 PM #2
    becker89
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    just check it yourself,
    derive the right side,and see if you get the left side.
    cant go safer than that
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  3. January 28th 2009, 03:09 AM #3
    Chop Suey
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    Quote Originally Posted by Fallen186 View Post
    Is ∫ (x*(ln(x)^4) = 4ln|x|^3-12ln|x|
    No.

    \int x \ln{(x)^4} ~ dx = 4 \int x\ln{x}~dx = 2 \int (x^2)'\ln{x}~dx

    Now apply integration by parts.
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