JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{{{e^x} - \,\,1}}{{{e^x} + \,\,1}}\;dx = f\left( x \right)\,\, + \,\,c

, then

f\left( x \right)

is equal to

View answer and explanation

Correct option: C

2\,\,\log \,\,\left( {{e^x} + \,\,1} \right) - x

Option C (

2\,\,\log \,\,\left( {{{{e^x}} + \,\,1}} \right) - x

) is correct because it is the result of integrating the given expression after rewriting it.

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