Cot x'in İntegrali

Cot x in İntegrali Nedir ?

Cot x'in integrali, ln |sin x|'tir.

$\int cotxdx=ln|sinx|+c$

Cot x'in İntegralini Bulma

$\int cotxdx=?$

$\boxed{cotx=\frac{cosx}{sinx}}$

$\int cotxdx=\int \frac{cosx}{sinx}dx$

$sinx=u$

$d(sinx)=du$

$(sinx{)}^{\prime }dx=du$

$\boxed{(sinx{)}^{\prime }=cosx}$

$cosxdx=du$

$\int cotxdx=\int \frac{du}{u}$

$\boxed{\int \frac{dx}{x}=ln|x|+c}$

$\int cotxdx=ln|u|+c$

$\int cotxdx=ln|sinx|+c$