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Mathematics · 2025 · 1 mark
CBSE 2025 · Region 4 · Set 3 · Q14
If ∫ e^-3 log x dx = f ( x )+ C, then f ( x ) is:
If $\displaystyle \int \mathrm{e}^{-3 \log \mathrm{x}} \mathrm{dx}=\mathrm{f}(\mathrm{x})+\mathrm{C}$, then $\displaystyle \mathrm{f}(\mathrm{x})$ is :
Official answer
(C)
$\displaystyle \frac{-1}{2 \mathrm{x}^{2}}$
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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.