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Indefinite Integration — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsIndefinite Integration1 Mark
Question
Evaluate the following : $\int \sin ^{-1}(\cos 3 x) \cdot d x$
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Answer

$
\begin{aligned}
\text { I } & =\int \sin ^{-1}\left(\sin \frac{\pi}{2}-3 x\right) \cdot d x \\
& =\int\left(\frac{\pi}{2}-3 x\right) \cdot d x \\
& =\frac{\pi}{2} x-3 \frac{x^2}{2}+c
\end{aligned}
$

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