Indefinite IntegrationHard
Question
If 
= a, 
+ C, where C is an arbitrary constant of integration, then the values of ′a′ and ′b′ are respectively:
= a, + C, where C is an arbitrary constant of integration, then the values of ′a′ and ′b′ are respectively:Options
A.-2 & 2/3
B.2 & -2/3
C.2 & 2/3
D.none
Solution
I = 
Let tan x = t2/3 ⇒ sec2x dx = 
t-1/3 dt
⇒ I =
t-1/3 dt = 
∫(1 + t4/3) . t-4/3 dt = 
∫(t-1/3 + 1)dt = 
= - 2t-1/3 +
t + C = - 2
tan3/2 x + C ⇒ A = - 2, B = 2/3
Let tan x = t2/3 ⇒ sec2x dx = t-1/3 dt⇒ I =
t-1/3 dt = ∫(1 + t4/3) . t-4/3 dt = ∫(t-1/3 + 1)dt = = - 2t-1/3 +
t + C = - 2 tan3/2 x + C ⇒ A = - 2, B = 2/3 Create a free account to view solution
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