Evaluate $\int_{0}^{2} (1 + 2 x) d x$

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Solution

Consider, $I = \int_{0}^{2} (1 + 2 x) d x$

$= {[x + x^{2}]}_{0}^{2}$

$= 2 + 4 - 0 - 0$

$= 6$

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