Question

how to integrate:

Answer 1

\[\pi \int\limits y \sin^2(y) dy\]

Answer 2

You'd really want to use the double angular formula here for the sin^2(y) term

Answer 3

1/2 -1/2 cos 2y?

Answer 4

yes that's the one.

Answer 5

\[\pi \int\limits y (1/2 -1/2 \cos 2y) dy\]

Answer 6

\[1/2 \pi \int\limits (y - ycos2y) dy\]
i dont know that part: \[\int\limits y \cos 2y dy\]

Answer 7

Try integrating by parts!

Answer 8

\[1/4 \pi y^2- 1/4 \pi y siny - 1/8 \pi \cos 2y\] ?

Answer 9

That's right.

Answer 10

Oh, and it's sin(2y)!