Q74.The value of the integral ∫ −π2 2 (1+ex)(sin6dxx+cos6 x) is equal to (1) 2π (2) 0 (3) π (4) π 2
What This Question Tests
The question is solved by applying the property of definite integrals, also known as the King Property, to simplify the integral expression.
Concepts Tested
Formulas Used
∫a to b f(x) dx = ∫a to b f(a+b-x) dx
sin⁶x + cos⁶x = 1 - 3sin²x cos²x
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals
- Year
- 2022
- Shift
- 24 Jun Shift 2
- Q Number
- Q74
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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