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Question Bank [2022] — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]1 Mark
Question
$\int \frac{x}{x+2} d x$
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Answer

$\int \frac{x}{x+2} d x=\int \frac{(x+2)-2}{x+2} d x$
$=\int\left(1-\frac{2}{x+2}\right) d x$
$=\int 1 \cdot d x-2 \int \frac{1}{x+2} d x$
$= x -2 \log | x +2|+ c $

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