Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If f(x) = tan –1 x + λ n 
– λ n 
. The integral of 1/2 f ' (x) with respect to x 4 is -
A
B
– λ n (1 – x 4 ) + c
C
D
λ n(1 + x 2 )+ c
Text Solution
Verified by ExpertsThe correct answer is:
B
f(x) = tan –1 x + λ n 
– λ n 
f '(x) = 
+ 
+ 
= 
f ' (x) = 
– 
⇒ – λ nt + c 1 – x 4 = t
– λ n (1 – x 4 ) + c – dx 4 = dt
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