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Solving Linear Differential Equations of First Order

Solve ∫ 0 2...

Question

Solve $\int_{0}^{2} (x + 5) d x$

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Solution

$2 \int 0 (x + 5) d x$
$= {(\frac{x^{2}}{2} + 5 x)}^{2}_{0}$
$= \frac{4}{2} + 10 - 0$
$= 12$

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