JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \frac{{\left( {{e^x} - \,\,{e^{ - x}}} \right)\,dx}}{{\left( {{e^x} + \,\,{e^{ - x}}} \right)\log \,\,\left( {\cosh \,\,x} \right)}}

is equal to

View answer and explanation

Correct option: D

\log \,\,\left[ {\log \,\,\left( {\cosh \,\,x} \right)} \right] + c

Option D,

\log \,\left[ {\log \,\left( {\cosh \,x} \right)} \right] + c

, is correct because it results from a u-substitution where

u = \log(\cosh x)

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