Find the integral: cosec x(cosec x+ x) d x - Vidyadip

Question

Find the integral: $\int cosec x(cosec x+\cot x) d x$

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Answer

We have
$\int\left(cosec x(cosec x+\cot x) d x=\int cosec ^{2} x d x+\int cosec x \cot x d x\right.$
= -cot x - cosec x + C

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