$\int_{1}^{3} a^{x} d x$

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Solution

$\int_{1}^{3} a^{x} d x$
$= {[\frac{a^{x}}{ln a}]}_{1}^{3}$
$= \frac{a^{3}}{ln a} - \frac{a^{1}}{ln a} + c$
$= \frac{a^{3}}{ln a} - \frac{a}{ln a} + c$

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