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Math Help - Integration Clarification

  1. #1
    Junior Member Evales's Avatar
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    Integration Clarification

    Haha I just realised that its exam season, have you guys been getting a lot more questions?

    Anyway
    In some notes that I found on the my schools site there is a rule of sorts to working out what to do when integrating trig.

    [sin(x)]^n . dx

    It then says that if n is even "change to mulitple angles" What does it mean by multiple angles?

    Thanks!
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  2. #2
    Moo
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    Hello,

    Quote Originally Posted by Evales View Post
    Haha I just realised that its exam season, have you guys been getting a lot more questions?

    Anyway
    In some notes that I found on the my schools site there is a rule of sorts to working out what to do when integrating trig.

    [sin(x)]^n . dx

    It then says that if n is even "change to mulitple angles" What does it mean by multiple angles?

    Thanks!
    Multiple-Angle Formulas -- from Wolfram MathWorld

    If n is even, you can write : n=2n', \sin^nx=\left(\sin^2x\right)^{n'}=\left(\frac{1-\cos 2x}{2}\right)^{n'}

    Does it help you ?
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  3. #3
    Junior Member Evales's Avatar
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    I don't know, thanks for that site though it sort of related more to turning multiple angles into ones like (sin x)^n plus other assorted things. More like trig identities.

    This kind of makes it hard to reverse and I don't want to make it harder for myself when intergrating.

    Any other ideas?
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