Integral of 1/sin^4x

Homework Statement

integral of 1/(sinx)^4

i dunno

The Attempt at a Solution

ive tried substitution but that just results in a more complicated integral, integration by parts does the same thing without actually reducing the integral. I though i could use integration by parts to recreate the original integral but, i can't get that to work either. any help?

ranger
Gold Member
This looks like something where you would do Wierstrass substitution.
http://math.berkeley.edu/~reshetik/LN/1B-lec6.pdf [Broken]

t=tan(x/2); sin(x) = 2t/(1+t2); then figure out what dx so you can replace it with dt. After you've integrated, remember that t=tan(x/2).

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