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Math Help - Integration by substitution

  1. #1
    Junior Member
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    Integration by substitution

    i have the integral \int csc(\pi x - 1) dx
    if i say t = \pi x - 1  => dt = \pi dx
    so i make the substitution leaving \frac{1}{\pi}\int csc(t) dt

    but ive no idea how to integrate cosec?
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  2. #2
    Newbie driegert's Avatar
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    \int csc(x)dx = ln |csc(x)-cot(x)| + C

    I had to look it up in a table of values.

    Trigonometric Integrals

    Hope that helps.
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  3. #3
    Junior Member
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    thanks i also found you can find it by multiplying it by \frac{csc(x) + cot(x)}{csc(x) + cot(x)}
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  4. #4
    Math Engineering Student
    Krizalid's Avatar
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    that "+" it's actually a "-".
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