Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If 
= λ (goƒ) (x) + C, then -
A
g(x) = tan –1 x, ƒ(x) = 
, λ = 
, λ =
B
g(x) = 
, ƒ(x) = tan –1 x, λ = 
, ƒ(x) = tan –1 x, λ =
C
g(x) = tan –1 x, ƒ(x) = 
, λ = 
, λ =
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
Put 5x 2 – 3 = t 2 ⇒ 5x dx = t dt
∴ I = 
dx = 
= 
= 
tan –1 
+ C = 
tan –1 
+ C.
∴ g(x) = tan –1 x and ƒ(x) = 
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