# Evaluate the following integrals:

Let

On multiplying and dividing (1 – cos x), we can write the integral as

[ sin2θ + cos2θ = 1]

[ cosec2θ – cot2θ = 1]

Recall and

We also have

I = –cosec x – (–cot x) + x + c

I = –cosec x + cot x + x + c

Thus,

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