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
Thus, 
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