Question

evaluate the indefinite integral (sin(4x)^4)(cos(4x))dx

Answer 1

I would do a \(u\) sub.

Answer 2

what should I use for u?

Answer 3

When you have cos/sin, you wanna sub for the one that isn't odd.

Answer 4

If both are even, you have to use half angle.

Answer 5

So in this case, \(u = \sin(4x)\)

Answer 6

\[
\int \sin^4(4x) \frac{d(\sin(4x))}{4}
\]

Answer 7

so (1/20)(sin(4x)^5)

Answer 8

Yeah, that looks about right.

Answer 9

thank you! could you help me with a couple other questions?

Answer 10

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