cosec-4x-2-dx-

Question Number 25209 by Mr eaay last updated on 06/Dec/17

\int c o s e c \sqrt{4 x^{2}} d x

Answered by prakash jain last updated on 06/Dec/17

= \int cosec 2 x d x

= \int \frac{1}{2 \sin x \cos x} d x

= \frac{1}{2} \int \frac{1}{\sin^{2} x (\frac{\cos x}{\sin x})} d x

= \frac{1}{2} \int \frac{{cosec}^{2} x}{\cot x} d x

= - \frac{1}{2} \ln (\cot x) + C