Q17.If ∫ −π2 2 96x2(1+ex)cos2 x (1) 64 (2) 196 (3) 144 (4) 100
What This Question Tests
This problem tests the application of definite integral properties, specifically the King's rule and properties of even/odd functions, to simplify and solve the integral.
Concepts Tested
Formulas Used
integral from -a to a of f(x)dx = 2 * integral from 0 to a of f(x)dx if f(x) is even
integral from a to b of f(x)dx = integral from a to b of f(a+b-x)dx
📚 NCERT Sections This Tests
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.
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
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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
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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?
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals
- Year
- 2025
- Shift
- 28 Jan Shift 1
- Q Number
- Q17
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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