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Math Help - Integration (2)

  1. #1
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    Integration (2)

    Ahhhhh! Integration....

    Find ∫(e^x)(sin 2x) dx.

    Thank you for helping!!!
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  2. #2
    MHF Contributor red_dog's Avatar
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    I=\int e^x\sin 2xdx=\int(e^x)'\sin 2xdx=e^x\sin 2x-2\int e^x\cos 2xdx=

    =e^x\sin 2x-2\left(e^x\cos 2x+2\int e^x\sin 2xdx\right)=

    =e^x\sin 2x-2e^x\cos 2x-4I\Rightarrow I=\frac{1}{5}\left(e^x\sin 2x-2e^x\cos 2x\right)+C
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