How many MCQ questions are available for Integrals?

There are 54 MCQ questions available for Integrals (Class 12 Mathematics) — 21 easy, 22 medium, and 11 hard.

Integrals

Q: What topics are covered in Integrals?

Key concepts covered: Definite integral, Fundamental theorem of calculus, Indefinite integral as antiderivative, Integration by partial fractions, Integration by parts, Integration by substitution, Integration of special functions, Properties of definite integrals, Standard integration formulas.

Class 12 · Mathematics

54 questions21 easy22 medium11 hard

Sample Questions

Q1.∫e²ˣ sin x dx equals:

Ae²ˣ(2 sin x – cos x)/5 + C
Be²ˣ(sin x – 2 cos x)/5 + C
Ce²ˣ(2 sin x + cos x)/5 + C
De²ˣ sin x/3 + C

Q2.The property ∫₀ᵃ f(x) dx = ∫₀ᵃ f(a–x) dx is useful for evaluating integrals containing:

ARational functions
BTrigonometric functions especially on [0, π/2]
CExponential functions
DOnly constants

Q3.∫eˣ dx equals:

Aeˣ/x + C
Bxeˣ + C
Ceˣ + C
Deˣ⁺¹ + C

Q4.∫sin²x dx equals:

Ax/2 – sin(2x)/4 + C
B–cos(2x)/2 + C
Csin(2x)/2 + C
Dx/2 + sin(2x)/4 + C

Q5.∫eˣ(f(x) + f'(x)) dx equals:

Aeˣf'(x) + C
Beˣf(x) + C
Ceˣ(f(x) + f'(x)) + C
Deˣ + f(x) + C

Q6.This is a sample question to preview what you'll get in the full practice test...

A. Option one
B. Option two
C. Option three
D. Option four

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Concepts Covered

Definite integralFundamental theorem of calculusIndefinite integral as antiderivativeIntegration by partial fractionsIntegration by partsIntegration by substitutionIntegration of special functionsProperties of definite integralsStandard integration formulas

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