Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Evaluate : 
tan − 1 x. n (1 + x 2 ) dx
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
x tan − 1 x. n (1 + x 2 ) + (tan − 1 x) 2 − 2x tan − 1 x + n (1 + x 2 ) − 
+ C
Sol. 
= x tan –1 x . n(1 + x 2 ) – 
dx – 
= x tan –1 x n (1 + x 2 ) – 
n 2 (1 + x 2 ) – 2 
= x tan –1 n (1 + x 2 ) – 
× 4 n 2 
– 2x tan –1 x + n (1 + x 2 ) + (tan –1 x) 2 + C
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