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,


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