Q84.Let I = ∫ba (x4 −2x2)dx. If I is minimum then the ordered pair (a, b) is (1) (0, √2) (2) (√2, −√2) √2, (3) (− 0) (4) (−√2, √2)
What This Question Tests
This question requires understanding how the sign of the integrand affects the value of a definite integral and finding the integration limits that minimize the integral of a given polynomial function.
Concepts Tested
Formulas Used
∫x^n dx = x^(n+1)/(n+1)
Integral properties
📚 NCERT Sections This Tests
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
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.
2.3 — Two Charges 2 Mc And –2 Mc Are Placed At Points A And B 6 Cm
Physics Class 11 · Chapter 2
2.3 Two charges 2 mC and –2 mC are placed at points A and B 6 cm apart. (a) Identify an equipotential surface of the system. (b) What is the direction of the electric field at every point on this surface?
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Minimization of Definite Integrals
- Year
- 2019
- Shift
- 10 Jan Shift 1
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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