anonymous
  • anonymous
How do you integrate (sin(x))^3 ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I already looked at Wolfram and I don't want to use the reduction formula
bahrom7893
  • bahrom7893
Sin*(Sin^2(x))
bahrom7893
  • bahrom7893
Then: Sin*(1-Cos^2(x))

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bahrom7893
  • bahrom7893
That leads to Sin - Sin*Cos^2 split it into two integrals
bahrom7893
  • bahrom7893
first one is easy, second one - integration by parts, then you go through the loop again
bahrom7893
  • bahrom7893
I say reduction formula I think it's 1/2 something... is much easier
anonymous
  • anonymous
ok I see what you want to do
anonymous
  • anonymous
I've never been taught that reduction formula so I'd rather not use it yet
bahrom7893
  • bahrom7893
remember that? Then at the end you get something like Int(Sin*Cos^2) = __________ - Int(Sin*Cos^2), then u add Int(Sin*Cos^2) to both sides and divide by two or whatever..
anonymous
  • anonymous
yeah that makes sense I'll try it using your strategy
anonymous
  • anonymous
I ended up using subsitution for the second part because it seemed easier I got (((cos(x))^3)/3) - cos(x) Thanks again for your help!
TuringTest
  • TuringTest
yes, subbing for the second part is way easier, it's practically udu already because it is cos^n(x)*(-sinx)

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