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Math Help - another integration by substitution question

  1. #1
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    another integration by substitution question

    Use substitution to evaluate the integral:
    the integral of Π/4 to 3Π/4 of cot x dx

    So far, I have that u = cot x , du = -csc x squared, and dx = -1/(cscx squared)


    Thanks for any help
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  2. #2
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    Quote Originally Posted by turtle View Post
    Use substitution to evaluate the integral:
    the integral of Π/4 to 3Π/4 of cot x dx

    So far, I have that u = cot x , du = -csc x squared, and dx = -1/(cscx squared)


    Thanks for any help
    The integral,
    \int \cot x dx = \int \frac{\cos x}{\sin x}dx
    Let,
    u=\sin x.
    Thus,
    -\int \frac{1}{u} du
    Thus,
    -\ln |u|+C=-\ln |\sin x|
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