Can someone check this calculus for me?

JohnCU

Banned
Dec 9, 2000
16,528
4
0
Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified line. Sketch the region, the solid, and a typical disk or washer.

#6. x = y - y^2, x = 0; about the y-axis

Picture of graph

Which gives me the integral (integrating with respect to y), from 0 to 1, of pi(y-y^2)^2 dy. I know the integral works, just making sure it's calculating what I want it to calculate.
 

Trevelyan

Diamond Member
Dec 10, 2000
4,077
0
71
that's what I setup... .got pi/30 as an answer, but my algebra might be off... kinda did it in a rush, lol
 

eLiu

Diamond Member
Jun 4, 2001
6,407
1
0
I get the same answer/setup as everyone else in this thread...i'm thinking it's probably the right answer, lol