Q74.Let ∫logeα 4 √ex−1dx (1) x2 + 2x −8 = 0 (2) x2 −2x −8 = 0 (3) 2x2 −5x + 2 = 0 (4) 2x2 −5x −2 = 0
What This Question Tests
This question assesses the skill of evaluating definite integrals using substitution and relating the result to the roots of a quadratic equation.
Concepts Tested
Formulas Used
∫(f(g(x))g'(x)dx = ∫f(u)du
loge(a^b) = b loge(a)
📚 NCERT Sections This Tests
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Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
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Physics Class 12 · Chapter 12
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.
3.26 — The Decomposition Of Hydrocarbon Follows The Equation
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
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Definite integration by substitution
- Year
- 2024
- Shift
- 08 Apr Shift 2
- Q Number
- Q74
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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