CBSE 2025 · Region 7 · Set 1 · Q14 · 1 mark
$\displaystyle \int \frac{\mathrm{e}^{\mathrm{x}}}{\sqrt{4-\mathrm{e}^{2 \mathrm{x}}}} \mathrm{dx}$ is equal to :
Official answer
From CBSE’s own marking scheme for this paper.
(D)
$\displaystyle \sin ^{-1}\left(\frac{\mathrm{e}^{\mathrm{x}}}{2}\right)+\mathrm{C}$
IntegralsMethods of IntegrationApplymcqmedium
More from Integrals
- ∫ (x+5)/((x+6)^2) e^x dx is equal to:2025 · asked 3×
- Evaluate ∫ 1/((e^x+e^-x)(e^x-e^-x)) d x log √22023 · asked 3×
- If ∫ (3 a x)/( b^2+c^2 x^2) d x=A log b^2+c^2 x^2 +K, then the value of A is2026 · asked 3×
- Find: Find: ∫ x^2 log (x^2+1) d x2023 · asked 3×
- If ∫ (2^1/x)/(x^2) d x=k · 2^1/x+C, then k is equal to2025 · asked 3×
- Find: ∫ (x^2+1)/((x-1)^2(x+3)) d x OR Evaluate: ∫ 0^π / 2 (x)/( sin x+ cos x) d x2025 · asked 3×
- Find: ∫ dx√4 x-x^22022 · asked 3×
- Find: ∫ (2 x)/((x^2+3)(x^2-5)) d x OR Evaluate: ∫ 1^4( x-2 + x-4 ) d x2025 · asked 3×
CBSE Class 12 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.