CALCULUS:)
posted by Brit on .
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 xaxis.

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