Indefinite IntegrationHard
Question
The value of ∫etan θ (sec θ - sin θ) dθ is equal to
Options
A.- etan θ sin θ + C
B.etan θ sin θ + C
C.etan θ sec θ + C
D.etan θ cos θ + C
Solution
I = ∫etan θ(sec θ - sin θ)dθ
=
sec2θ dθ
I =
sec2 θ dθ
=
sec2θ dθ
= etan θ .
= etan θ. cos θ + C
=
sec2θ dθI =
sec2 θ dθ=
sec2θ dθ= etan θ .
= etan θ. cos θ + C Create a free account to view solution
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