Q84.The integral ∫4 logx2+log(6−x)2 2 (1) 6 (2) 2 (3) 4 (4) 1
What This Question Tests
The problem requires the application of a key property of definite integrals, specifically ∫a to b f(x)dx = ∫a to b f(a+b-x)dx, along with logarithm properties, to simplify and solve the integral.
Concepts Tested
Formulas Used
∫ₐᵇ f(x) dx = ∫ₐᵇ f(a+b-x) dx
log a + log b = log(ab)
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of Definite Integrals
- Year
- 2015
- Shift
- 04 Apr
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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