Q75.The area enclosed between the curves y = x|x| and y = x −|x| is : (1) 4 (2) 1 3 (3) 2 (4) 8 3 3
What This Question Tests
This problem tests the knowledge of the Beta function and its relation to definite integrals. It requires recognizing the integral form, performing a substitution, and matching it to the Beta function definition.
Concepts Tested
Formulas Used
Beta(m,n) = ∫[0,1] x^(m-1) (1-x)^(n-1) dx
∫(1-x^n) dx
📚 NCERT Sections This Tests
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Physics Class 12 · Chapter 13
13.2 Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units of MeV from the following data: m ( 5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u
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?
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
- Beta function and definite integrals
- Year
- 2024
- Shift
- 05 Apr Shift 2
- Q Number
- Q75
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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