Q74.If ∫1x √1−x1+x + π3 (1) loge( √3+1√3−1 ) + π3 (2) loge( √3+1√3−1 ) (3) loge( √3−1√3+1 ) −π3 (4) 13 loge( √3−1√3+1 ) −π6
What This Question Tests
This question tests the ability to evaluate a challenging integral, typically solved using trigonometric substitution (e.g., x = cos 2θ), and then determine the constant of integration using the given initial condition.
Concepts Tested
Formulas Used
∫√(1-x)/(1+x) dx
x = cos(2θ)
∫cosec(θ) dθ = log|tan(θ/2)| + C
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📋 Question Details
- Chapter
- Indefinite Integration
- Topic
- Integration using Trigonometric Substitution
- Year
- 2022
- Shift
- 26 Jun Shift 2
- Q Number
- Q74
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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