Q73.Consider the integral I = ∫100 [x]e[x]ex−1 value of I is equal to : (1) 9(e −1) (2) 45(e + 1) (3) 45(e −1) (4) 9(e + 1)
What This Question Tests
This question tests the ability to evaluate a definite integral involving the greatest integer function by splitting the integral into elementary intervals.
Concepts Tested
Formulas Used
∫[a,b] f(x) dx = ∑∫[k, k+1] f(x) dx
[x] for x in [k, k+1) is k
📚 NCERT Sections This Tests
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
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
11.3 — The Photoelectric Cut-Off Voltage In A Certain Experiment Is 1.5 V.
Physics Class 12 · Chapter 11
11.3 The photoelectric cut-off voltage in a certain experiment is 1.5 V. What is the maximum kinetic energy of photoelectrons emitted?
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Definite integration with GIF
- Year
- 2021
- Shift
- 16 Mar Shift 2
- Q Number
- Q73
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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