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ECAT Pre General Science Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a
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Constant function
Variable value
Function of upper limit
All
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Question # 2
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Question # 3
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a cosec(ax + b) + c
- a cosec(ax + b) + c
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Question # 4
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Question # 5
The area between the x-axis and the curve y = x
2
+ 1 from x = 1 to 2 is:
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15/6
15/4
10/4
10/3
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Question # 6
The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is
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1.2%
1.5%
0.16%
100.16%
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Question # 7
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In f(x) + c
f(x) - c
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Question # 8
The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called
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Boundaries
Variable separable
Initial values
None
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Question # 9
Which of the following integrals can be evaluated
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Question # 10
The set of all antiderivaties of f(= ∫f(x)dx) is the
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Definite integral
Indefinite integral
Integral
Area
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Question # 11
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(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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Question # 12
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Question # 13
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Question # 14
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Question # 15
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Question # 16
If the graph of f is entirely below the x-axis, then the value of definite integral is
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= 0
< 0
> 0
None
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Question # 17
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y + 1 = Ae
x
y + 1 = Axe
x
xe
x
= C
y + xe
x
= C
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Question # 18
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Always negative
Zero
Always positive
Infinity
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Question # 19
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sec 5x + c
- sec 5x + c
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Question # 20
The general solution of the differential equation x dy / dx = 1 + y is:
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2
1
3
None
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Question # 21
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a f(x) + c
f(x) + a
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Question # 22
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Question # 23
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Question # 24
The solution of differential equation:
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dy/dx+y/x = x
2
is :
4xy = x
4
+ c
4x = x
4
= c
4 y = x
4
+ c
4x=4x
3
+ c
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Question # 25
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Question # 26
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tan 3x + c
cot 3x + c
- cot 3x + c
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Question # 27
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Question # 28
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In(x
2
- x + 1)
4
+ c
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Question # 29
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a cot(ax + b) + c
- a cot(ax + b) + c
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Question # 30
∫x sin xdx is equal to:
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sin x/x + cos x
sin x - cos x/x
x cos x + sin x
- x cos x + sin x
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Question # 31
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a sec(ax + b) + c
- a sec(ax + b) + c
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