Homework Help: calculus

Posted by Anonymous on Thursday, April 22, 2010 at 9:12pm.

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 - Reiny, Thursday, April 22, 2010 at 9:46pm
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 - Anonymous, Friday, April 23, 2010 at 12:37am
Thank you sooo much.

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