Q84.The values of ∫ 1+2x −π2 (1) π (2) π 4 8 (3) π (4) 4π 2 JEE Main 2018 (08 Apr) JEE Main Previous Year Paper
What This Question Tests
The question assesses the application of definite integral properties, specifically the King's property for symmetric limits, combined with trigonometric identities to simplify and evaluate the integral.
Concepts Tested
Formulas Used
∫ₐᵇ f(x)dx = ∫ₐᵇ f(a+b-x)dx
∫₋ₐᵃ f(x)dx = 2∫₀ᵃ f(x)dx if f(x) is even
∫₋ₐᵃ f(x)dx = 0 if f(x) is odd
📚 NCERT Sections This Tests
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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.
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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.
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals
- Year
- 2018
- Shift
- 08 Apr
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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