Answer
$\dfrac {4}{3}x^{3}+\dfrac {x^{2}}{2}+3x+C$
Work Step by Step
$\int \left( 4x^{2}+x+3\right) dx=\int 4x^{2}dx+\int xdx+\int 3dx=\dfrac {4}{3}x^{3}+\dfrac {x^{2}}{2}+3x+C$
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