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Math Help - Do not understand (integration by parts)

  1. #1
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    Exclamation Do not understand (integration by parts)

    Find the following general anti-derivatives using integration by parts formula

    a. intergration sign goes before problem but couldnt enter it on here (x+2/e^3x) dx
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    \int {\frac{{x + 2}}<br />
{{e^{3x} }}\,dx} = \int {xe^{ - 3x} \,dx} + 2\int {e^{ - 3x} \,dx} .

    The first one requires integration by parts.
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  3. #3
    Eater of Worlds
    galactus's Avatar
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    \int(x+2)e^{-3x}dx

    Let u=x+2, \;\ dv=e^{-3x}dx, \;\ du=dx, \;\ v=\frac{-1}{3}e^{-3x}

    This gives:

    (x+2)(\frac{-1}{3}e^{-3x})+\frac{1}{3}\int{e^{-3x}}dx

    Now, finish?.
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