If $\int \frac{d x}{1+e^x}=x+f(x)+C$, then $f(x)$ is equal to

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Understanding +4 | -1

\int \frac{d x}{1+e^x}=x+f(x)+C

, then

f(x)

is equal to

View answer and explanation

Correct option: B

\log \frac{1}{1+e^x}

Option B (

\log \frac{1}{1+e^x}

) is correct because it is the result of evaluating the integral and expressing it in the required form.

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