Evaluate the following integrals: ( ^2x+cosec^2x)dx - Vidyadip

Question

Evaluate the following integrals:
$\int(\sec^2\text{x}+\text{cosec}^2\text{x})\text{dx}$

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Answer

$\int(\sec^2\text{x}+\text{cosec}^2\text{x})\text{dx}$
$=\int\sec^2\text{x dx}+\int\text{cosec}^2\text{x dx}$
$=\tan\text{x}-\cot\text{x}+\text{C}$

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