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Math Help - Integration

  1. #1
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    Integration

    Can anyone help me with this problem?

    Integrate ln[(x^2)+2] dx

    Can this be done by integration by parts?
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  2. #2
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    Quote Originally Posted by Csou090490 View Post
    Can anyone help me with this problem?

    Integrate ln[(x^2)+2] dx

    Can this be done by integration by parts?
    I can do the derivation but it is really long.

    Just go here if you want the answer without the derivation.
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  3. #3
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    Hello, Csou090490!

    ln[x + 2] dx

    Can this be done by integration by parts? . Yes!
    . . u .= .ln(x + 2) . . . .dv .= .dx

    . . . . . . . . .2x
    . .du .= . -------- dx . . . .v .= .x
    . . . . . . . x + 2

    . . . . . . . . . . . . . . . . . . . . . . .x
    We have: . xln(x + 2) - 2
    -------- dx
    . . . . . . . . . . . . . . . . . . . . .x + 2

    . . . . . . . . . . . . . . . . . . . 2
    Divide that fraction: .1 - --------
    . . . . . . . . . . . . . . . . . .x + 2

    . . . and go for it!

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