How do I integrate sin^4(2x) ?

Note: The 4 is the power but the 2x is not.

I tried and I got 3/8x - (1/8)sin4x + (1/64)sin8x + c but the answer is 1/32(48x-4sin4x+sin8x)+c..

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- December 4th 2012, 09:17 AMTutuIntegration!
How do I integrate sin^4(2x) ?

Note: The 4 is the power but the 2x is not.

I tried and I got 3/8x - (1/8)sin4x + (1/64)sin8x + c but the answer is 1/32(48x-4sin4x+sin8x)+c.. - December 4th 2012, 09:42 AMtopsquarkRe: Integration!
- December 4th 2012, 04:26 PMTutuRe: Integration!
When I let y=2x why do.I take the 1/2 out? Is it because cause 2x=2sinxcosx?.thanks!

- December 4th 2012, 04:35 PMsjmillerRe: Integration!
- December 4th 2012, 05:23 PMSorobanRe: Integration!
Hello, Tutu!

Quote:

I tried and I got: . . You are right!

but the answer is: . . They are wrong!

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