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Calculus [rotation of region bounded by curves]

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Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
y=3x^2, x=1, y=0 about the x-axis

  • Calculus [rotation of region bounded by curves] -

    volume = π∫(3x^2)^2 dx from x - 0 to x=1
    = π∫9x^4 dx from 0 to 1
    = π [ (9/5)x^5 ] from 0 to 1
    = π(9/5 - 0)
    = 9π/5

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