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    Finding volume by integration

    Find the volume of the solid formed when the region bounded by the curves y=x3, y=1, and x=0 is rotated about the y-axis, use washer AND shell methods Disc/Washer: Ωx2dy = Ω(y1/3)2dy = Ωy2/3dy Volume: V = 0∫1 Ωy2/3dy = Ω{(3y5/3)/5} = 3Ω/5 Shell: 2Ωy(x)dx = 2Ωx(x3)dx = 2Ωx4dx Volume: V = 0∫1...
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