Q84.The value of the integral ∫2−2 [ sin2 π ]+ 2 (1) 0 (2) sin 4 (3) 4 (4) 4 −sin 4
What This Question Tests
This question tests the understanding of the greatest integer function and properties of definite integrals over symmetric intervals, requiring analysis of the integrand's behavior to simplify the integration.
Concepts Tested
Formulas Used
∫[-a, a] f(x) dx = 2∫[0, a] f(x) dx if f(x) is even
Definition of greatest integer function [x]
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of Definite Integrals
- Year
- 2019
- Shift
- 11 Jan Shift 1
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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