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Math Help - integrate

  1. #1
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    integrate

    cos3x/(2+sinx)

    lnx/(x*((lnx)^4)-1) x>0

    dx/(2+sinx+2cosx)

    sqrt((x-3)/(x+3))

    plz show me all the steps
    thanx..
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  2. #2
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    Quote Originally Posted by crazyhanna View Post
    cos3x/(2+sinx)
    Write as triple angle identity,
    (4cos^3 x - 3sin x)/(2+sin x)
    Now use Weierstrauss Substitution.
    lnx/(x*((lnx)^4)-1) x>0
    I think you mean,
    ln x/(x*(ln^4 x -1))
    In that case let t=ln x
    To get,
    t/(t^4-1)
    Which you can do with partial fractions.
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