Q84.The value of integral ∫ π 4 x 4 1+sin x (1) π 2 (√2 + 1) (2) π(√2 −1) (3) 2π(√2 −1) (4) π√2
What This Question Tests
This problem requires applying the property of definite integrals ∫_a^b f(x) dx = ∫_a^b f(a+b-x) dx and simplifying the integrand using trigonometric identities to evaluate the integral.
Concepts Tested
Formulas Used
∫_a^b f(x) dx = ∫_a^b f(a+b-x) dx
cos(π/2 - x) = sin(x)
📚 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.
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.
2.4 — A Spherical Conductor Of Radius 12 Cm Has A Charge Of 1.6 × 10–7C
Physics Class 11 · Chapter 2
2.4 A spherical conductor of radius 12 cm has a charge of 1.6 × 10–7C distributed uniformly on its surface. What is the electric field (a) inside the sphere (b) just outside the sphere (c) at a point 18 cm from the centre of the sphere?
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals
- Year
- 2018
- Shift
- 15 Apr Shift 2 Online
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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