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Mathematics · 2022 · 2 marks
CBSE 2022 · Region 3 · Set 1 · Q1
Find: ∫ dx/(x^2 - 6x + 13)
Find : $\displaystyle \int \frac{dx}{x^2 - 6x + 13}$
Marking-scheme solution
\[\begin{aligned}
& \int \frac{d x}{x^{2}-6 x+13} \\
& =\int \frac{d x}{(x-3)^{2}+(2)^{2}} \\
& =\frac{1}{2} \tan ^{-1} \frac{(x-3)}{2}+C
\end{aligned}
\]
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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.