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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=4+x^4 about the x-axis. Please help.

  • calculus - ,

    Volume = [integral]πy^2 dx from to 1
    = π[integral](4+x^4)dx from 0 to 1
    = π [integral] (16 + 8x^4 + x^8)dx
    = π [16x + (8/5)x^5 + (1/9)x^9 from 0 to 1
    = π(16 + 8/5 + 1/9 - 0)
    = 797π/45

  • calculus - ,

    Thank you sooo much.

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