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Definite Integration (p-1) — Maths (commerce) STD 12 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 12 Commerce / ArtsMaths (commerce)Definite Integration (p-1)1 Mark
Question
$\int_{-2}^3 \frac{1}{x+5} d x$
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Answer

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

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