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Math Help - Finding volume of a solid

  1. #1
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    Finding volume of a solid

    Find the volume of a solid formed by revolving the region bounded by the graphs of y=x^3+x+1,y=1, and x=1 about the line x=2.
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by dandaman View Post
    Find the volume of a solid formed by revolving the region bounded by the graphs of y=x^3+x+1,y=1, and x=1 about the line x=2.
    did you graph the region? i would use the shell method here.

    V = 2 \pi \int \text{radius} \cdot \text{height}

    here we have V = \int_0^1 (2 - x)(x^3 + x)~dx

    any questions?
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  3. #3
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    no, thanks!!
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