Find the volume of x = y − y2, x = 0, rotated around the y-axis.
So I first found the zeroes, which were 1 and 0. Then I squared the function and got y^(2)+y^(4)-y^(6)
Then I took the integral and plugged in the 1's and 0's until I got [(1/3)+(1/5)-(1/7)]-[0].
So as my final answer, I received pi(41/105).
I don't know where I went wrong.

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again, what do you get for \((y-y^2)^2\) ?

y^(2)+y^(4)-y^(6)
(y-y^2)(y-y^2)=(y-y^2)^2

doesn't look correct, try again

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