Q75.The value of ∫π−π 2y(1+sin1+cos2 yy) (1) 2π2 (2) π22 (3) π (4) π2 2 dx is equal to :
What This Question Tests
This question requires applying properties of definite integrals, specifically the King's rule and identifying odd/even functions, to simplify and evaluate the integral.
Concepts Tested
Formulas Used
∫[-a, a] f(x) dx = 0 if f(x) is odd
∫[-a, a] f(x) dx = 2 ∫[0, a] f(x) dx if f(x) is even
∫[a,b] f(x)dx = ∫[a,b] f(a+b-x)dx
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals
- Year
- 2024
- Shift
- 05 Apr Shift 1
- Q Number
- Q75
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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