x^4+1 x^2+1 dx is equal to: - Vidyadip

MCQ

$\int\frac{\text{x}^4+1}{\text{x}^2+1}\text{ dx}$ is equal to:

A
$\frac{\text{x}^3}{3}+\text{x}+\tan^{-1}\text{x}+\text{c}$
B
$\frac{\text{x}^3}{3}-\text{x}+\tan\text{x}+\text{c}$
C
$\frac{\text{x}^3}{3}+\text{x}+2\tan^{-1}\text{x}+\text{c}$
✓
$\frac{\text{x}^3}{3}-\text{x}+2\tan^{-1}\text{x}+\text{c}$

✓

Answer

Correct option: D.

$\frac{\text{x}^3}{3}-\text{x}+2\tan^{-1}\text{x}+\text{c}$

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