✓ Board-verified
Mathematics · 2023 · 5 marks
CBSE 2023 · Region 5 · Set 1 · Q33
Evaluate: ∫_0^((π)/2) sin 2 x tan^-1( sin x ) d x
Evaluate : $\displaystyle \int_{0}^{\frac{\pi}{2}} \sin 2 \mathrm{x} \tan ^{-1}(\sin \mathrm{x}) \mathrm{d} \mathrm{x}$
Marking-scheme solution
Let $\displaystyle \mathrm{I}=\int_{0}^{\pi / 2} \sin 2 \mathrm{x} \tan ^{-1}(\sin \mathrm{x}) \mathrm{dx}$.
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.