Q74.If f(α) = ∫α1 log101+t t dt, (1) 9 (2) 92 (3) 9 (4) 9 loge(10) 2 loge(10) is equal to
What This Question Tests
This problem tests understanding of properties of definite integrals, specifically how to manipulate the integrand using logarithmic identities and performing a suitable substitution to simplify the integral.
Concepts Tested
Formulas Used
∫ f(x) dx
log(a/b) = log a - log b
∫ (1/t) dt = log|t|
📚 NCERT Sections This Tests
10.5 — In Young’S Double-Slit Experiment Using Monochromatic Light Of
Physics Class 12 · Chapter 10
10.5 In Young’s double-slit experiment using monochromatic light of wavelength l, the intensity of light at a point on the screen where path difference is l, is K units. What is the intensity of light at a point where path difference is l/3?
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.
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of Definite Integrals
- Year
- 2022
- Shift
- 29 Jul Shift 1
- Q Number
- Q74
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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