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$\int (a x^{2} + b x + c) d x$

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Solution

$I = \int (a x^{2} + b x + c) d x$

$I = a \int x^{2} d x + b \int x d x + c \int d x$

$I = \frac{a x^{3}}{3} + \frac{b x^{2}}{2} + c x + C$

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