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Math Help - More Calculus

  1. #1
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    More Calculus

    More Calculus-screen-shot-2010-06-19-15.18.03.png

    I've gotten as far as the line before the last, but I'm not sure whether the last line has integrated by parts (yet again - third time) the integral, or what it has assumed?

    Please help!
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  2. #2
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    The last line simply recognises that \int e^{x} cos(mx) is I, the thing you tried to integrate in the first place.

    Then it factorises.
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  3. #3
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    Quote Originally Posted by maggiec View Post
    Click image for larger version. 

Name:	Screen shot 2010-06-19 at 15.18.03.png 
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ID:	17918

    I've gotten as far as the line before the last, but I'm not sure whether the last line has integrated by parts (yet again - third time) the integral, or what it has assumed?

    Please help!
    Dear maggiec,

    In addition to what SpringFan25 said it also assumes that m is an integer.
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  4. #4
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    Quote Originally Posted by SpringFan25 View Post
    The last line simply recognises that \int e^{x} cos(mx) is I, the thing you tried to integrate in the first place.

    Then it factorises.
    Thank you! I can't believe I didn't see that!
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