- #1
Painguy
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Homework Statement
Consider the region bounded by y = x^2 and the line y = 1. Find the exact volume of the solid obtained by rotating the region about the x-axis.
Homework Equations
The Attempt at a Solution
1=x^2
x=1
x=0
∫ π(1-x^2)^2dx from 0 to 1
(πx^5)/5 -(π2x^3)/3 +πx evaluated from 0 to 1
π/5 - π2/3 +π = (3π-10π+15π)=8π/15
This answer is wrong. What am I doing wrong?