Find the volume of the solid obtained by rotating the bounded region in the first quadrant enclosed by the graphs of y=x2, x=y^4 about the x-axis.
Here's what i did:
r1=1+y
r2=sqrt(y)-y^4
2pi 0--1 (1+y)(sqrt(y)-y^4)dy
I integrated this and got 7pi/5 which is incorrect. Are my radii and formula correct? If not, could someone please correct it? Thanks