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Math Help - [SOLVED] Double integral find volume

  1. #1
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    [SOLVED] Double integral find volume

    integral from 0 to 2(integral from 0 to 1 (2x+y)^8 dx dy

    My impulse is to use substitution but I am not sure if I can or not
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  2. #2
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    Quote Originally Posted by atompunk View Post
    integral from 0 to 2(integral from 0 to 1 (2x+y)^8 dx dy

    My impulse is to use substitution but I am not sure if I can or not

    \int\limits^2_0\int\limits^1_0(2x+y)^8dxdy =\frac{1}{2}\int\limits^2_0\left[\frac{(2x+y)^9}{9}\right]^1_0dy =\frac{1}{18}\int\limits^2_0\left[(2+y)^9-y^9\right]dy =\frac{1}{18}\left[\frac{(2+y)^{10}}{10}-\frac{y^{10}}{10}\right]^2_0=\ldots Why substitution if directly is pretty simple?

    Tonio
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  3. #3
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    I think I see now. I just wasn't in the y is a constant mindset

    261632/45 book answer awesome thanks. that problem kind of sucked
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