Q84.The value of the integral π 2 2 + sin x sin4 x + log is 2 −sin x ))dx ∫ −π2 (1 ( (1) 3 π (2) 0 16 (3) 3 π (4) 3 8 4
What This Question Tests
This problem evaluates a definite integral by splitting the integrand and using properties of odd and even functions over a symmetric interval.
Concepts Tested
Formulas Used
∫-a to a f(x)dx = 0 if f(x) is odd
∫-a to a f(x)dx = 2 ∫0 to a f(x)dx if f(x) is even
📚 NCERT Sections This Tests
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
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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.
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14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
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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.
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals
- Year
- 2018
- Shift
- 15 Apr Shift 1 Online
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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