Q84.The value of ∫ sinx+cosx 0 (1) π−1 (2) π−2 2 8 (3) π−1 (4) π−2 4 4
What This Question Tests
This question assesses proficiency in indefinite integration by substitution, specifically requiring rewriting trigonometric functions in terms of tan x and sec² x to facilitate the substitution.
Concepts Tested
Formulas Used
cot x = 1/tan x
sec^2 x = 1/cos^2 x
d(tan x)/dx = sec^2 x
∫u^n du = u^(n+1)/(n+1) + C
📚 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.
8.17 — Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
📋 Question Details
- Chapter
- Indefinite Integration
- Topic
- Integration by substitution
- Year
- 2019
- Shift
- 09 Apr Shift 1
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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