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Mathematics · 2022 · 2 marks
CBSE 2022 · Region 5 · Set 1 · Q1
Find: ∫ dx/(√(4 x - x^2))
Find : $\displaystyle \int \frac{\mathrm{dx}}{\sqrt{4 \mathrm{x}-\mathrm{x}^{2}}}$
Marking-scheme solution
\[\begin{aligned}
& \int \frac{d x}{\sqrt{4 x-x^{2}}} \\
& =\int \frac{d x}{\sqrt{2^{2}-(x-2)^{2}}} \\
& =\sin ^{-1}\left(\frac{x-2}{2}\right)+C
\end{aligned}
\]
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CBSE Class 12 Mathematics past-paper question from the 2022 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.