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Math Help - more integration by parts

  1. #1
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    more integration by parts

    Is there some property of ln for the underlined part? i dont get how they got the anti derivative
    Attached Thumbnails Attached Thumbnails more integration by parts-calc.jpg  
    Last edited by calculus0; April 16th 2010 at 01:23 AM. Reason: typo
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  2. #2
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    \frac{d}{dx}a^x = \ln(a)a^x

    So you want to find the function, which derivative gives you a^x and that function is thus given by:

    \frac{d}{dx} \frac{a^x}{\ln(a)} = \frac{1}{\ln(a)} \frac{d}{dx} a^x = \frac{\ln(a)}{\ln(a)} a^x = a^x.
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  3. #3
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    cool, thanks again
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