Q83.The value of the integral ∫0.90 [x −2[x]]dx, where [.] denotes the greatest integer function is (1) 0.9 (2) 1.8 (3) −0.9 (4) 0
What This Question Tests
This question tests the understanding of the greatest integer function and its properties, particularly how it behaves over a given interval, to simplify the integrand before performing definite integration.
Concepts Tested
Formulas Used
x = [x] + {x}
∫ a dx = ax + C
📚 NCERT Sections This Tests
1.18 — A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
Physics Class 11 · Chapter 1
1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Definite integral with greatest integer function
- Year
- 2012
- Shift
- 19 May Online
- Q Number
- Q83
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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