Q76.The value of ∫ −11 1 ) √2 (( x−1x+1 + ( x−1x+1 ) 2 −2) 2 √2 (1) loge 4 (2) 2 loge 16 + (3) loge 16 (4) 4 loge(3 2√2)
What This Question Tests
This is a challenging integral problem requiring clever algebraic manipulation and substitution to simplify the integrand into a standard form before integration, along with handling the definite integral limits.
Concepts Tested
Formulas Used
∫ 1/x dx = ln|x| + C
∫ f(x) dx from -a to a = 2 ∫ f(x) dx from 0 to a if f(x) is even
∫ 1/sqrt(x^2-1) dx = ln|x+sqrt(x^2-1)|
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Chemistry Class 11 · Chapter 3
3.26 The decomposition of hydrocarbon follows the equation k = (4.5 × 1011s–1) e-28000K/T Calculate Ea. 87 Chemical Kinetics Reprint 2025-26
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12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
📋 Question Details
- Chapter
- Indefinite Integration
- Topic
- Integration by substitution
- Year
- 2021
- Shift
- 26 Aug Shift 1
- Q Number
- Q76
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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