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ECAT Pre General Science Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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 # 2
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Question # 3
The process of finding a function whose derivative is given is called a
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Differentiation
Integration
Differential
None
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Question # 4
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5x
4 + c
1/6 x
6
+ c
5x
2
+ c
1/5 x
6
+ c
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Question # 5
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Question # 6
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 # 7
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Question # 8
∫ x cos dx is equal to :
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x cos x + sin x
cos x + x sin x
x cos x + x sin x
x sin x + cos x
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Question # 9
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x
-2
+ c
not possible
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Question # 10
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 11
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 # 12
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 13
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cos 3x + c
- cos 3x + c
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Question # 14
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a sin(ax + b) + c
- a sin(ax + b) + c
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Question # 15
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Question # 16
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In(x
2
- x + 1)
4
+ c
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Question # 17
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Question # 18
The area between the x-axis the curve y =4x-x2 is :
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32/2
15
18
21
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Question # 19
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Question # 20
An integral of 1/x dx is:
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1/x
2
1/-x
2
1/lnx
lnx
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Question # 21
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Question # 22
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Question # 23
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 # 24
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Question # 25
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none of these
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Question # 26
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 # 27
The differential equations of all conis whose axes coincide with the co-ordinate axis is
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Question # 28
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Question # 29
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a cosec(ax + b) + c
- a cosec(ax + b) + c
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Question # 30
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 # 31
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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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