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Math Help - Trig Integration

  1. #1
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    Trig Integration

    Integral of cos^6x dx

    Ive tried breaking it apart different powers but I can't figure out the correct combination.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ff4930 View Post
    Integral of cos^6x dx

    Ive tried breaking it apart different powers but I can't figure out the correct combination.
    try integration by parts
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  3. #3
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    This problem said to solve it using trig.

    breaking it into

    cos^4x and cos^2x dont seem to help
    =(1-sin^2x)^2 cos^2x
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  4. #4
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    Re:

    Re:
    Attached Thumbnails Attached Thumbnails Trig Integration-71.gif  
    Last edited by qbkr21; October 9th 2007 at 07:07 PM.
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  5. #5
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    Problem is cos^6x not sin^6x
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  6. #6
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    Quote Originally Posted by ff4930 View Post
    Integral of cos^6x dx
    As Jhevon already told ya, integrate by parts.

    --

    But, it doesn't make much sense to integrate \cos^6x, so I'd prefer to compute

    \int\cos^nx\,dx

    which contains a lot of sense, I mean, a reduction formula.
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