Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

$\int \frac{d x}{e^x+e^{-x}}$ is equal to:

Options:

$\tan ^{-1}\left(e^x\right)+c$, where c is a constant

$\tan ^{-1}\left(e^{-x}\right)+c$, where c is a constant

$\tan ^{-1}\left(e^x+e^{-x}\right)+c$, where c is a constant

$\log _e\left(e^x+e^{-x}\right)+c$, where c is a constant

Correct Answer:

$\tan ^{-1}\left(e^x\right)+c$, where c is a constant

Explanation:

The correct answer is Option (1) → $\tan ^{-1}\left(e^x\right)+c$, where c is a constant