Q85.The value of the integral ∫10 [x2−28x+196]+[x2][x2] 4 (1) 1 (2) 6 3 (3) 7 (4) 3
What This Question Tests
This question requires careful evaluation of the greatest integer function within a definite integral, involving substitution and splitting the integral based on integer value changes.
Concepts Tested
Formulas Used
∫₀^a f(x) dx = ∫₀^a f(a-x) dx
[x] property
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals, Greatest Integer Function
- Year
- 2016
- Shift
- 10 Apr Online
- Q Number
- Q85
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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