✓ Board-verified
Mathematics · 2023 · 3 marks
CBSE 2023 · Region 2 · Set 2 · Q31
Find ∫ e^x((1- sin x)/(1- cos x)) d x
Find $\displaystyle \int \mathrm{e}^{x}\left(\frac{1-\sin x}{1-\cos x}\right) \mathrm{d} x$
Marking-scheme solution
$\displaystyle \int \mathrm{e}^{x}\left(\frac{1-\sin x}{1-\cos x}\right) \mathrm{d} x=\int \mathrm{e}^{x}\left(\frac{1-2 \sin \dfrac{x}{2} \cos \dfrac{x}{2}}{2 \sin ^{2} \dfrac{x}{2}}\right) \mathrm{d} x$
More from Integrals
- Evaluate: ∫_0^π x/(1+ sin x) d x2022 · asked 2×
- Evaluate ∫_-1^1|x^4-x| d x. OR Find ∫ (sin^-1 x)/((1-x^2)^3 / 2) d x.2023
- Find: ∫ (x^2)/((x^2+4)(x^2+9)) d x2023
- Evaluate: ∫_0^π (sin^2026 x)/(sin^2026 x+ cos^2026 x) d x2026
- Evaluate: ∫_1^3 (√x)/(√x+√(4-x)) dx2022
- Find: ∫ ((3 cos x-2) sin x)/(5- sin^2 x-4 cos x) d x OR Evaluate: ∫_-2^2 (x^3+|x|+1)/(x^2+4|x|+4) d x2024
- ∫ (x+5)/((x+6)^2) e^x dx is equal to:2025
- Evaluate ∫ 1/((e^x+e^-x)(e^x-e^-x)) d x log √22023
CBSE Class 12 Mathematics past-paper question from the 2023 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.