CBSE 2023 · Region 2 · Set 2 · Q31 · 3 marks
Find $\displaystyle \int \mathrm{e}^{x}\left(\frac{1-\sin x}{1-\cos x}\right) \mathrm{d} x$
Marking-scheme solution
$\displaystyle \int \mathrm{e}^{x}\left(\frac{1-\sin x}{1-\cos x}\right) \mathrm{d} x=\int \mathrm{e}^{x}\left(\frac{1-2 \sin \dfrac{x}{2} \cos \dfrac{x}{2}}{2 \sin ^{2} \dfrac{x}{2}}\right) \mathrm{d} x$
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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.