CBSE 2023 · Region 5 · Set 1 · Q33 · 5 marks
Evaluate : $\displaystyle \int_{0}^{\frac{\pi}{2}} \sin 2 \mathrm{x} \tan ^{-1}(\sin \mathrm{x}) \mathrm{d} \mathrm{x}$
Marking-scheme solution
Let $\displaystyle \mathrm{I}=\int_{0}^{\pi / 2} \sin 2 \mathrm{x} \tan ^{-1}(\sin \mathrm{x}) \mathrm{dx}$.
IntegralsSome Properties of Definite IntegralsApplylong_answerhard
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CBSE Class 12 Mathematics past-paper question from the 2023board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.