Q84.The value of the integral ∫ sin4 x(1 + ln( 2−sin x ))dx −π2 (1) 3 (2) 3 π 4 8 (3) 0 (4) 163 π
What This Question Tests
This question evaluates a definite integral over a symmetric interval by utilizing the properties of odd and even functions and the 'King Property' for definite integrals.
Concepts Tested
Formulas Used
∫[-a, a] f(x) dx = 2∫[0, a] f(x) dx if f(x) is even
∫[-a, a] f(x) dx = 0 if f(x) is odd
log(A/B) = -log(B/A)
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals
- Year
- 2018
- Shift
- 15 Apr
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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