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.

Answer 1

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

Answer 2

Thank you sooo much.