i have the integral $\displaystyle \int csc(\pi x - 1) dx$

if i say $\displaystyle t = \pi x - 1 => dt = \pi dx$

so i make the substitution leaving $\displaystyle \frac{1}{\pi}\int csc(t) dt$

but ive no idea how to integrate cosec?

Printable View

- Feb 8th 2010, 12:10 PMrenlokIntegration by substitution
i have the integral $\displaystyle \int csc(\pi x - 1) dx$

if i say $\displaystyle t = \pi x - 1 => dt = \pi dx$

so i make the substitution leaving $\displaystyle \frac{1}{\pi}\int csc(t) dt$

but ive no idea how to integrate cosec? - Feb 8th 2010, 12:19 PMdriegert
$\displaystyle \int csc(x)dx = ln |csc(x)-cot(x)| + C$

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

Trigonometric Integrals

Hope that helps. - Feb 8th 2010, 12:25 PMrenlok
thanks i also found you can find it by multiplying it by $\displaystyle \frac{csc(x) + cot(x)}{csc(x) + cot(x)}$ (Hi)

- Feb 8th 2010, 01:37 PMKrizalid
that "+" it's actually a "-". :D