Evaluate the following integrals:
Let
We have sec2θ – tan2θ = cosec2θ – cot2θ = 1
Recall and
We also have and
⇒ I = 3(–cos x) – 4(sin x) + 6(tan x) – 7(–cot x) + c
∴ I = –3cosx – 4sinx + 6tanx + 7cotx + c
Thus,