Q84.If [ ] denotes the greatest integer function, then the integral ∫π0 [cos xdx is equal to: (1) π (2) 0 2 (3) −1 (4) −π2
What This Question Tests
This question tests the ability to evaluate a definite integral involving the greatest integer function by splitting the integration interval based on the piecewise definition of the integrand.
Concepts Tested
Formulas Used
∫[a,b] f(x) dx = ∫[a,c] f(x) dx + ∫[c,b] f(x) dx
📚 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.
12.4 — The Ground State Energy Of Hydrogen Atom Is –13.6 Ev. What Are The
Physics Class 12 · Chapter 12
12.4 The ground state energy of hydrogen atom is –13.6 eV. What are the kinetic and potential energies of the electron in this state?
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 involving Greatest Integer Function
- Year
- 2014
- Shift
- 12 Apr Online
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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