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Math Help - Intregration by parts

  1. #1
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    Intregration by parts

    Can somebody ,show me how to work this out

    f(t)= 1/10 te^0.1t

    thanks if you can help
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  2. #2
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    Quote Originally Posted by Jaffa View Post
    Can somebody ,show me how to work this out

    f(t)= 1/10 te^0.1t

    thanks if you can help
    u = t ... du = dt

    dv = 0.1e^{0.1t} ... v = e^{0.1t}

    \int 0.1t \cdot e^{0.1t} \, dt = te^{0.1t} - \int e^{0.1t} \, dt

    can you finish?
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  3. #3
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    Should it be =te^o.1t -e^0.1t/0.1
    after this, if it is right ,I am lost, and what about the 1/10 at the start
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  4. #4
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    Quote Originally Posted by Jaffa View Post
    Should it be =te^o.1t -e^0.1t/0.1
    after this, if it is right ,I am lost, and what about the 1/10 at the start
    note that \frac{1}{10} = 0.1

    \int 0.1 t e^{0.1t} \, dt = te^{0.1t} - 10e^{0.1t} + C
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