Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Definite Integration

Question:

The value of the integral $\int\limits_{\log _e 2}^{\log _e 3} \frac{e^{2 x}-1}{e^{2 x}+1} d x$ is:

Options:

$\log _e 3$

$\log _e 4 - \log _e 3$

$\log _e 9-\log _e 4$

$\log _e 3-\log _e 2$

Correct Answer:

$\log _e 4 - \log _e 3$

Explanation:

The correct answer is Option (2) → $\log _e 4 - \log _e 3$