Q86.The value of ∫π/2−π/2 sin21+2xx (1) π (2) π 2 (3) 4π (4) π4
What This Question Tests
This question requires recognizing and applying the property of definite integrals (King's Rule) to simplify the integrand and evaluate the integral, utilizing the fact that the sine squared function is even.
Concepts Tested
Formulas Used
∫_a^b f(x)dx = ∫_a^b f(a+b-x)dx
∫_-a^a f(x)dx = 2∫_0^a f(x)dx if f is even, 0 if f is odd
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of Definite Integrals
- Year
- 2013
- Shift
- 23 Apr Online
- Q Number
- Q86
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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