Integrate the following functions: $3 x + 2$

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Solution

Consider, $I = \int (3 x + 2) d x$

$= 3 \int x d x + 2 \int d x$

$= 3 \frac{x^{2}}{2} + 2 x + c$

$= \frac{3 x^{2}}{2} + 2 x + c$

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