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# Integration question watch

1. Integrate: 16sin^4(x)cos^4(x)

I think i can integrate it. But i dont know how to start/ how to simplify the sin^4(x)cos^4(x) into something simple which i can integrate. Any help appreciated!
2. (Original post by Nirm)
Integrate: 16sin^4(x)cos^4(x)

I think i can integrate it. But i dont know how to start/ how to simplify the sin^4(x)cos^4(x) into something simple which i can integrate.
think of the identity for sin2A=2sinAcosA
3. (Original post by TeeEm)
think of the identity for sin2A=2sinAcosA
All i can think of is (sin2A)^4 but that doesnt seem right because the answer is meant to be 3x/8 - sin4x/8 +sin8x/64 (+C). I am going to give it a go and see if i get anywhere. Thanks for the hint
4. (Original post by Nirm)
All i can think of is (sin2A)^4 but that doesnt seem right because the answer is meant to be 3x/8 - sin4x/8 +sin8x/64 (+C). I am going to give it a go and see if i get anywhere. Thanks for the hint
next consider sin2A =1/2 - 1/2cos(2A)
5. (Original post by Nirm)
All i can think of is (sin2A)^4 but that doesnt seem right because the answer is meant to be 3x/8 - sin4x/8 +sin8x/64 (+C). I am going to give it a go and see if i get anywhere. Thanks for the hint
Think you probably wanted to gothe other way and write your things in terms of cos2x instead
6. (Original post by TenOfThem)
Think you probably wanted to gothe other way and write your things in terms of cos2x instead
Yeah i did i guess
(Original post by TeeEm)
next consider sin2A =1/2 - 1/2cos(2A)
This question is quiet long, still trying to complete it. I think i am on the right path
7. (Original post by Nirm)
Yeah i did i guess

This question is quiet long, still trying to complete it. I think i am on the right path
hope it works
8. (Original post by TeeEm)
hope it works
Thank you! (too many things to multiply out and simplify but its looking so far)

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Updated: January 18, 2015
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