Answer
$\dfrac{x^4}{2}-\dfrac{5x^2}{2}+7x+C$
Work Step by Step
Since, we have $\int (2x^3-5x+7) dx=\dfrac{x^4}{2}-\dfrac{5x^2}{2}+7x+C$
Also, $\dfrac{d}{dx}(\dfrac{x^4}{2}-\dfrac{5x^2}{2}+7x+C)=2x^3-5x+7$
Thus, the derivative of the integral is integrand. So, the answer is correct.