Question
Evaluate the following definite integrals : $\int_{-2}^3 \frac{1}{x+5} d x$

Answer

$
\begin{aligned}
& \int_{-2}^3 \frac{1}{x+5} d x \\
& =[\log |x+5|]_{-2}^3
\end{aligned}
$
$
\begin{aligned}
& =\log 8-\log 3 \\
& =\log \left(\frac{8}{3}\right)
\end{aligned}
$

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