x^9 (4x^2+1)^6 dx is equal to : - Vidyadip

MCQ

$\int\frac{\text{x}^9}{(4\text{x}^2+1)^6}\text{dx}$ is equal to :

A
$\frac{1}{5\text{x}}\Big(4+\frac{1}{\text{x}^2}\Big)^{-5}+\text{c}$
B
$\frac{1}{5}\Big(4+\frac{1}{\text{x}^2}\Big)^{-5}+\text{c}$
C
$\frac{1}{10\text{x}}\Big(\frac{1}{\text{x}}+4\Big)^{-5}+\text{c}$
✓
$\frac{1}{10\text{x}}\Big(\frac{1}{\text{x}^2}+4\Big)^{-5}+\text{c}$

✓

Answer

Correct option: D.

$\frac{1}{10\text{x}}\Big(\frac{1}{\text{x}^2}+4\Big)^{-5}+\text{c}$

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