\(\int \frac{e^x-e^{-x}}{e^x+e^{-x}}dx\)

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

\(\int \frac{e^x-e^{-x}}{e^x+e^{-x}}dx\)

Options:

\(\log|e^x-e^{-x}|+c\)

\(\log|e^x+e^{-x}|+c\)

\(e^x+c\)

\(e^{-x}+c\)

Correct Answer:

\(\log|e^x+e^{-x}|+c\)

Explanation:

Put \(e^x+e^{-x}=t\)