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Math Help - Work done integration of cylinder volume

  1. #1
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    Work done integration of cylinder volume

    Hi Guys , im new here , i could do with a hand with this integration question , cant get my head round where to start , any help would be greatly appreciated
    The attached is the copy of the question ,
    Thanks
    Simon
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    Re: Work done integration of cylinder volume

    Quote Originally Posted by Jelley View Post
    Hi Guys , im new here , i could do with a hand with this integration question , cant get my head round where to start , any help would be greatly appreciated
    The attached is the copy of the question
    So

    W = \int_{30}^{80}\frac{175}V\,dV

    If you can't integrate that, then you need some review. What is \int\frac{dx}x?
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  3. #3
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    Re: Work done integration of cylinder volume



    W = \int_{30}^{80} \frac{175}{V} \, dV

    basic log antiderivative ...

    W = 175 \left[\ln{V}\right]_{30}^{80} = 175\left[\ln(80) - \ln(30)\right] = 175\ln\left(\frac{8}{3}\right) \approx 172\, J
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