Q76.The value of the integral ∫1−1 loge(√1 x)dx is equal to: (1) 2 1 loge 2 + π4 −32 (2) 2 loge 2 + π4 −1 (3) loge 2 + π2 −1 (4) 2 loge 2 + π2 −12
What This Question Tests
This question combines the concept of definite integration with the greatest integer function, requiring the integral to be split into integer and fractional parts to evaluate.
Concepts Tested
Formulas Used
∫₀ᵃ f(x-[x]) dx = [a]∫₀¹ f({x}) dx + ∫₀ᵃ-[a] f({x}) dx
∫eˣ dx = eˣ
📚 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.
13.2 — Obtain The Binding Energy Of The Nuclei 5626Fe And 20983 Bi In Units Of
Physics Class 12 · Chapter 13
13.2 Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units of MeV from the following data: m ( 5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Definite integrals with greatest integer function
- Year
- 2021
- Shift
- 20 Jul Shift 1
- Q Number
- Q76
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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