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CALCULUS:)

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Find the volume of the solid formed by rotating the region enclosed by
x=0, x=1, y=0, y=9+x^4
about the x-axis.

  • CALCULUS:) - ,

    volume = π∫(9+x^4)^2 dx from 0 to 1
    = π∫(81 + 18x^4 + x^8) dx from 0 to 1
    = π[81x + (18/5)x^5 + (1/9)x^9 ) | from 0 to 1
    = π(81 + 18/5 + 1/9 - 0)
    = 3812π/45 or appr. 266.13

    check my arithmetic

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