Answer
$\dfrac{x^4}{2}-\dfrac{5x^2}{2}+7x+C$
Work Step by Step
Since, we have $\int (2x^3-5x+7) dx=\dfrac{x^4}{2}-\dfrac{5x^2}{2}+7x+C$
and
$\dfrac{d}{dx}(\dfrac{x^4}{2}-\dfrac{5x^2}{2}+7x+C)=2x^3-5x+7$
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