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Math Help - Trig integrals?

  1. #1
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    Trig integrals?

    integral of (5 times x times csc (6x) times cot (6x) dx)? Thanks in advance.
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    Quote Originally Posted by shah4u19 View Post
    integral of (5 times x times csc (6x) times cot (6x) dx)? Thanks in advance.
    5\int x \csc(6x)\cot(6x) \, dx

    u = x ... dv = \csc(6x)\cot(6x) \, dx

    du = dx ... v = -\frac{1}{6}\csc(6x)

    uv - \int v \, du

    don't forget the 5
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  3. #3
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    Thanks for your help. But could you tell me what is the integral of csc (6x)?
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  4. #4
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    Quote Originally Posted by shah4u19 View Post
    Thanks for your help. But could you tell me what is the integral of csc (6x)?
    look it up in your text
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  5. #5
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    I know integral of csc x dx is ln (csc x - cot x)...but not sure how to apply it to integral of csc (6x).
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  6. #6
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    Quote Originally Posted by shah4u19 View Post
    I know integral of csc x dx is ln (csc x - cot x)...but not sure how to apply it to integral of csc (6x).
    Substitute u = 6x and then do the integral.
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