Q72.If πΌπ₯= β«πsin2π₯cosπ₯ sin2π₯- sinπ₯ππ₯ and πΌ0 = 1, then πΌ π is equal to 3 (1) -1 34 (2) 1 34 2π 2π 3 (3) -π 4 (4) π 34
What This Question Tests
This problem requires applying the method of substitution multiple times within a definite integral involving exponential and trigonometric functions.
Concepts Tested
Formulas Used
β« e^u du = e^u
Substitution method (u = g(x), du = g'(x)dx)
π NCERT Sections This Tests
12.5 β A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 Β· 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.
11.8 β Light Of Frequency 7.21 Γ 1014 Hz Is Incident On A Metal Surface.
Physics Class 12 Β· Chapter 11
11.8 Light of frequency 7.21 Γ 1014 Hz is incident on a metal surface. Electrons with a maximum speed of 6.0 Γ 105 m/s are ejected from the surface. What is the threshold frequency for photoemission of electrons?
12.4 β The Ground State Energy Of Hydrogen Atom Is β13.6 Ev. What Are The
Physics Class 12 Β· Chapter 12
12.4 The ground state energy of hydrogen atom is β13.6 eV. What are the kinetic and potential energies of the electron in this state?
π Question Details
- Chapter
- Indefinite Integration
- Topic
- Integration by substitution
- Year
- 2023
- Shift
- 10 Apr Shift 1
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
More from this Chapter
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Q83.Let f(x) be an indefinite integral of cos3 x. Statement 1: f(x) is a periodic function of period Ο. Statement 2: cos3 x is a periodic function. (1) Statement 1 is true, Statement 2 is false. (2) Both the Statements are true, but Statement 2 is not the correct explanation of Statement 1. (3) Both the Statements are true, and Statement 2 is correct explanation of Statement 1. (4) Statement 1 is false, Statement 2 is true.
Q81.The integral of x2βx w.r.t. x is x3βx2+xβ1 (1) 1 2 log (x2 + 1 + c) (2) 12 log x2 β1 + c (3) log (x2 + 1 + c) (4) log x2 β1 + c
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