Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Indefinite Integration

Question:

The value of the integral $\int \frac{2 x}{\left(x^2+1\right)\left(x^2+2\right)} d x$ is:

Options:

$\log \left|x^2+1\right|+\log \left|x^2+2\right|+C$

$2 \log \left|x^2+1\right|-2 \log \left|x^2+2\right|+C$

$\log \left|\frac{x^2+1}{x^2+2}\right|+C$

$\log \left|\frac{x^2+2}{x^2+1}\right|+C$

Correct Answer:

$\log \left|\frac{x^2+1}{x^2+2}\right|+C$

Explanation:

The correct answer is Option (3) → $\log \left|\frac{x^2+1}{x^2+2}\right|+C$