Evaluate: (i) `intt a n^2x\ dx` (ii) `intcot^2x\ dx`

Explanation

Solution:



(i)

`\int \cot ^{2} x d x`

We know that `{cosec}^{2} x-\cot ^{2} x=1`

Therefore, `\Rightarrow \cot ^{2} x={cosec}^{2} x-1`

`\Rightarrow \int \cot ^{2} x d x=\int({cosec}^{2} x-1) d x`

`\Rightarrow \int {cosec}^{2} x d x-\int 1 d x`

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