Chapter 3 Integration Math 12th Class Punjab MCQ Tests
12th Class Math Chapter 3 MCQ Tests
Chapter 3 of 12th Class Math has 33 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.
Total Questions: 33
Total Marks: 33
Time: 35 Mins
Total Questions: 33
Total Marks: 33
Time: 35 Mins
35Min : 00 Sec Remaining
Question # 1
is the example of _____.
Question # 2
Solve the integral :
Question # 3
Suitable substitution for?
Question # 4
What substitution should we make to find this integral?
Question # 5
Suitable substitution for :
Question # 6
The change in f ( x ) for a change δ x in x is _____.
Question # 7
Find the area between the x -axis and the curve y2 = 4 − x in the first quadrant from x = 0 to x = 3 .
Question # 8
Find the area bounded by cos function from x = − π / 2 to x = π / 2.
Question # 9
Find the differential equation of the orthogonal trajectories of the family of curves given by the power function y = C x4.
Question # 10
Solve:
Question # 11
Solve the equation:
Question # 12
Find the:
Question # 13
Which of the following is the example of differential equation.
Question # 14
_____ is the notation for indefinite integral.
Question # 15
The change in tangent line at a point on f ( x ) for a change δ x in x is _____.
Question # 16
Solve
Question # 17
The area under the sine curve between 0 to π is _____.
Question # 18
Evaluate:
Question # 19
Evaluate the integral :
Question # 20
Find the area between the curve y = x3 + 3 x 2 and the x -axis.
Question # 21
Find the area bounded by the curve y = x ( x2 − 4 ) and the x -axis.
Question # 22
Find the area bounded by the curves y = x2 + 2 , y = − x , x = 0 and x = 1 .
Question # 23
Evaluate the integral :
Question # 24
Dividing the region into small rectangles gives us _____.
Question # 25
Which process is used to find the area under the curve?
Question # 26
Solve
Question # 27
The integration is basically used to find the _____.
Question # 28
Solve the following
Question # 29
Find the area bounded by the curve f ( x ) = x3 − 2 x 2 + 1 and the x -axis in the 1st quadrant.
Question # 30
Which of the following is the differential of y?
Question # 31
Find the orthogonal trajectories of family of straight lines through the origin y = mx.
Question # 32
we can substitute _____.
Question # 33
Solve the integral :-
Total Questions
123456789101112131415161718192021222324252627282930313233
Question # 1
is the example of _____.
Question # 2
Solve the integral :
Question # 3
Suitable substitution for?
Question # 4
What substitution should we make to find this integral?
Question # 5
Suitable substitution for :
Question # 6
The change in f ( x ) for a change δ x in x is _____.
Question # 7
Find the area between the x -axis and the curve y2 = 4 − x in the first quadrant from x = 0 to x = 3 .
Question # 8
Find the area bounded by cos function from x = − π / 2 to x = π / 2.
Question # 9
Find the differential equation of the orthogonal trajectories of the family of curves given by the power function y = C x4.
Question # 10
Solve:
Question # 11
Solve the equation:
Question # 12
Find the:
Question # 13
Which of the following is the example of differential equation.
Question # 14
_____ is the notation for indefinite integral.
Question # 15
The change in tangent line at a point on f ( x ) for a change δ x in x is _____.
Question # 16
Solve
Question # 17
The area under the sine curve between 0 to π is _____.
Question # 18
Evaluate:
Question # 19
Evaluate the integral :
Question # 20
Find the area between the curve y = x3 + 3 x 2 and the x -axis.
Question # 21
Find the area bounded by the curve y = x ( x2 − 4 ) and the x -axis.
Question # 22
Find the area bounded by the curves y = x2 + 2 , y = − x , x = 0 and x = 1 .
Question # 23
Evaluate the integral :
Question # 24
Dividing the region into small rectangles gives us _____.
Question # 25
Which process is used to find the area under the curve?
Question # 26
Solve
Question # 27
The integration is basically used to find the _____.
Question # 28
Solve the following
Question # 29
Find the area bounded by the curve f ( x ) = x3 − 2 x 2 + 1 and the x -axis in the 1st quadrant.
Question # 30
Which of the following is the differential of y?
Question # 31
Find the orthogonal trajectories of family of straight lines through the origin y = mx.
Question # 32
we can substitute _____.
Question # 33
Solve the integral :-
Total Questions
123456789101112131415161718192021222324252627282930313233
Math MCQ Test by Topics
- +3.1 Introduction
- +3.1.1 Differentials of Variables
- +3.1.2 Distinguishing Between dy and delta-y
- +3.1.3 Finding dy/dx by using differentials
- +3.1.4 Simple application of differentials
- +3.1 Exercise
- +3.2 Integration as Anti Derivative (Inverse of Derivative)
- +3.2.1 Some Standard Formulae for Anti Derivatives
- +3.2.2 Theorems
- +3.2.3 Anti-Derivatives of [f(x)]n f ’(x) and [f(x)]-1 f ’(x)
- +3.2 Exercise
- +3.3 Integration by Method of Substitution
- +3.4 Some useful Substitutions
- +3.3 Exercise
- +3.5 Integration by parts
- +3.4 Exercise
- +3.5 Integration involving partial Fractions
- +3.5 Exercise
- +3.6 The Definite Integrals
- +3.6.1 The Area Under The Curve
- +3.6.2 Theorem
- +3.6 Exercise
- +3.7 Application of Definite integrals
- +3.7 Exercise
- +3.8 Differential Equations
- +3.8.1 Solution of a Differential Equation of first order
- +3.8.2 Initial Conditions
- +3.8 Exercise
Math
12th Class Online Classes 2026
Updated on: 17-10-2026
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12th Class 2026 Online
12th Class 2026
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