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ECAT Pre General Science Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
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x
3
- x
2
+ x + c
6x - 2 + c
x
3
- 2x + c
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Question # 4
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a sin(ax + b) + c
- a sin(ax + b) + c
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Question # 5
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(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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Question # 6
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 # 7
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Question # 8
The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is
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0.4cm
8.8πcm
17.6 πcm
35.2πcm
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Question # 9
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y + 1 = Ae
x
y + 1 = Axe
x
xe
x
= C
y + xe
x
= C
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Question # 10
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sin x + c
-sin x + c
cos x + c
-cos x + c
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Question # 11
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 # 12
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 # 13
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Question # 14
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 15
Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is
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2
3
4
1
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Question # 16
The differential equation of all st. lines which are at a constant distance to form the origin is
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Question # 17
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Y = -x log x -x + c
Y = x log x + x
Y = x log x - x + c
None of these
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Question # 18
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Question # 19
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Question # 20
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Question # 21
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 22
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Question # 23
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a cosec(ax + b) + c
- a cosec(ax + b) + c
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Question # 24
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a f(x) + c
f(x) + a
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Question # 25
Archimedes approximate the function by horizontal function and the area under f by the sum of small
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Parallelograms
Squares
Retangles
Polygons
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Question # 26
∫sin(ax+b) dx is equal to:
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1/2a cos (ax + b)
-1/a cos (ax +b)
1/a cos (ax +b)
1/a ln (ax + b)
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Question # 27
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Question # 28
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Question # 29
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A variable
A constant
0
None of these
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Question # 30
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Question # 31
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x
-2
+ c
not possible
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