Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If 
log 
dx = 
log t – 
i + 
log u – 
+ c then -
Text Solution
Verified by ExpertsThe correct answer is:
C
The integrand can be written as
(e 2x – e –2x ) log (e x + e –x ) – (e 2x – e –2x ) log (e x – e –x )
= (e x + e –x ) (e x –e –x ) log (e x + e –x ) – (e x + e –x ) (e x – e –x )
log (e x – e –x ).
Hence the given integral is equal to
– 
(t = e x + e –x , u = e x – e –x )
= 
log t – 
dt + 
log u – 
du
(integration by parts)
= 
log t – 
+ 
log u 
– + c,
where t = e x + e –x and u = e x – e –x .
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