If (x)dx=2 f(x)^3+c and f(x) 0 then f(x) is: - Vidyadip

MCQ

If $\int\text{f(x)}\text{dx}=2\text{ f(x)}^3+\text{c}$ and $\text{f(x)}\neq0$ then $f(x)$ is:

A
$\frac{\text{x}}{2}$
B
$\text{x}^3$
C
$\frac{1}{\sqrt{\text{x}}}$
✓
$\sqrt{\frac{\text{x}}{3}}$

✓

Answer

Correct option: D.

$\sqrt{\frac{\text{x}}{3}}$

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