Practicing Success
The value of the integral $\int \frac{2 x}{\left(x^2+1\right)\left(x^2+2\right)} d x$ is: |
$\log \left|x^2+1\right|+\log \left|x^2+2\right|+C$ $2 \log \left|x^2+1\right|-2 \log \left|x^2+2\right|+C$ $\log \left|\frac{x^2+1}{x^2+2}\right|+C$ $\log \left|\frac{x^2+2}{x^2+1}\right|+C$ |
$\log \left|\frac{x^2+1}{x^2+2}\right|+C$ |
The correct answer is Option (3) → $\log \left|\frac{x^2+1}{x^2+2}\right|+C$ |