9x 9x^2+1 = - Vidyadip

MCQ

$\int\frac{9\text{x}}{9\text{x}^2+1}=$

A
$\frac{1}{3}\tan^{-1}(2\text{x})+\text{C}$
B
$\frac{1}{3}\tan^{-1}\text{x}+\text{C}$
✓
$\frac{1}{3}\tan^{-1}(3\text{x})+\text{C}$
D
$\frac{1}{3}\tan^{-1}(6\text{x})+\text{C}$

✓

Answer

Correct option: C.

$\frac{1}{3}\tan^{-1}(3\text{x})+\text{C}$

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