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Mathematics · 2025 · 1 mark
CBSE 2025 · Region 1 · Set 3 · Q3
If ∫_0^1 (e^x)/(1+x) d x=α, then ∫_0^1 (e^x)/((1+x)^2) d x is equal to
If $\displaystyle \int_{0}^{1} \frac{\mathrm{e}^{x}}{1+x} \mathrm{~d} x=\alpha$, then $\displaystyle \int_{0}^{1} \frac{\mathrm{e}^{x}}{(1+x)^{2}} \mathrm{~d} x$ is equal to
Official answer
(B)
$\displaystyle \alpha+1-\frac{\mathrm{e}}{2}$
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CBSE Class 12 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.