Indefinite IntegrationHard
Question
The value of 
dx, where 0 < a < x < p, is equal to
dx, where 0 < a < x < p, is equal toOptions
A.2 ln
+ C
+ CB.√2 ln + C
+ CC.2√2 ln + C
+ CD.- 2 sin-1 
+ C
+ CSolution
I = 
dx 0 < α < x < π
=
put cos x/2 = t ⇒ - 1/2 sin x/2 dx = dt
⇒ I =
= -2 sin-1 
+ C
dx 0 < α < x < π=
put cos x/2 = t ⇒ - 1/2 sin x/2 dx = dt⇒ I =
= -2 sin-1 + C Create a free account to view solution
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