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, 
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.
