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Math Help - Integration problem

  1. #1
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    Integration problem

    Hi im not sure how to do this problem:

    \int \frac{1}{10}te^{0.1t} dt

    Thanks
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  2. #2
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    Quote Originally Posted by anothernewbie View Post
    Hi im not sure how to do this problem:

    \int \frac{1}{10}te^{0.1t} dt

    Thanks
    Do you know integration by parts?
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  3. #3
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    Read this Integration by parts - Wikipedia, the free encyclopedia

    For \int uv' = uv - \int vu'

    In your case make u=\frac{1}{10}t and v' = e^{0.1t}

    now find u' and v
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  4. #4
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    Right finally found time to get back to this problem, this is where im at.

    \int \frac{1}{10}te^{0.1t} dt

    Make v = \frac{1}{10}t

    So \frac{dv}{dx} = \frac{1}{10}

    And Make \frac{du}{dx} = e^{0.1t}

    So u = 10e^{0.1t}


    Using

    \int uv' = uv - \int vu'

    I get:

    \int \frac{1}{10}t \times e^{0.1t} = 10e^{0.1t} \times \frac{1}{10}t - \int 10e^{0.1t} \times \frac{1}{10}


    Am I doing this right or am i on totally the wrong track?

    God I suck at maths

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  5. #5
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    Quote Originally Posted by anothernewbie View Post

    \int uv' = uv - \int vu'

    I get:

    \int \frac{1}{10}t \times e^{0.1t} = 10e^{0.1t} \times \frac{1}{10}t - \int 10e^{0.1t} \times \frac{1}{10}


    Am I doing this right or am i on totally the wrong track?

    You are doing great, now integrate on the RHS on you are done.


    Quote Originally Posted by anothernewbie View Post

    God I suck at maths
    Not this time you didn't, well done!
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  6. #6
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    Quote Originally Posted by pickslides View Post
    You are doing great, now integrate on the RHS on you are done.




    Not this time you didn't, well done!

    Woop, thanks will give the rest a go later on today.

    Thanks
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