Evaluate the following integrals:

Question:

Evaluate the following integrals:

$\int\left(\operatorname{se}^{2} x+\operatorname{cosec}^{2} x\right) d x$

Solution:

Given:

By Splitting, we get,

$\Rightarrow \int \sec ^{2} x d x+\int \operatorname{cosec}^{2} x d x$

By applying the formula,

$\int \sec ^{2} x d x=\tan x$

$\int \operatorname{codec}^{2} x d x=-\operatorname{cotx}$

$\Rightarrow \tan x-\cot x+c$

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