How do you evaluate the integral $int cottheta$ ?

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Answer 1 · 2017-01-23T08:57:52

$intcotxdx=ln|sinx|+C$

using the standard result :

$int(f'(x))/(f(x))dx=ln|f(x)|+C$

we have

$intcotxdx=intcosx/sinxdx$

now: $d/(dx)(sinx)=cosx$

so the result follows

$intcotxdx=ln|sinx|+C$

How do you evaluate the integral int cotthetaint cottheta?