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ECAT Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
The differential equation of all st. lines which are at a constant distance to form the origin is
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Question # 2
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Question # 3
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1
2
3
4
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Question # 4
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Question # 5
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x
3
- x
2
+ x + c
6x - 2 + c
x
3
- 2x + c
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Question # 6
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A variable
A constant
0
None of these
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Question # 7
The area under the curve y = 1/x
2
between x = 1 and x =4 is:
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-25
0.75
-0.35
-10
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Question # 8
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 # 9
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Question # 10
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Question # 11
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Question # 12
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 # 13
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Question # 14
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Question # 15
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In(x
2
- x + 1)
4
+ c
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Question # 16
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 # 17
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Question # 18
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 # 19
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Question # 20
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a f(x) + c
f(x) + a
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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
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 # 24
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Question # 25
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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 # 26
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Question # 27
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Question # 28
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Question # 29
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 30
f(x)g(x)- ∫g(x) f′(x) dx is equal to
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∫f(x)g′(x)dx
∫f′(x)g(x)dx
∫f′(x)g(x)′dx
∫f(x)g(x)dx
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Question # 31
The area bounded by y = x (x2 - 4) and below x - axis is
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4
0
-4
8
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