Answer
$\dfrac{x}{5}+\dfrac{1}{x^2}+x^2+C$
Work Step by Step
Since, we have $\int (\dfrac{1}{5}-\dfrac{2}{x^3}+2x) dx=\dfrac{x}{5}+\dfrac{1}{x^2}+x^2+C$
Also, $\dfrac{d}{dx}(\dfrac{x}{5}+\dfrac{1}{x^2}+x^2+C)=\dfrac{1}{5}-\dfrac{2}{x^3}+2x$
Thus, the derivative of the integral is integrand. So, the answer is correct.