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Math Help - Volumes

  1. #1
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    Volumes

    Evaluate the volume generated by rotating about the y-axis the region bounded by the following curves: y=x^2,y=0,x=−2 and x=−1.

    Quick question to clarify on this. Wouldn't I just find the volume of y=x^2 with the upper and lower bounds being -1 and -2 respectively?
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  2. #2
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    Quote Originally Posted by Hellreaver View Post
    Evaluate the volume generated by rotating about the y-axis the region bounded by the following curves: y=x^2,y=0,x=−2 and x=−1.

    Quick question to clarify on this. Wouldn't I just find the volume of y=x^2 with the upper and lower bounds being -1 and -2 respectively?
    you need to use cylindrical shells. the volume is: \int_{-2}^{-1}-2\pi x^3 \ dx=\frac{15 \pi}{2}.
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  3. #3
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    How did you get x^3?
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