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ECAT Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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 # 2
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Question # 3
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Question # 4
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2, 3
3, 3
2, 6
2, 4
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Question # 5
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a f(x) + c
f(x) + a
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Question # 6
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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 # 7
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Question # 8
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a cosec(ax + b) + c
- a cosec(ax + b) + c
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Question # 9
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a
x
In a + c
a
x
+ c
x a
x
+ c
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Question # 10
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Question # 11
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Question # 12
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Always negative
Zero
Always positive
Infinity
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Question # 13
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Question # 14
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π
π/6
-
π/2
2
π
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Question # 15
The differential equation of all st. lines which are at a constant distance to form the origin is
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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
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 # 19
The number of arbitrary constants in the general solution of a differential equation is equal to the different equation
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Order
Degree
Variables
All are correct
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Question # 20
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Question # 21
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Question # 22
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a cos(ax + b) + c
- a cos(ax + b) + c
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Question # 23
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 24
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 # 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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a sin(ax + b) + c
- a sin(ax + b) + c
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Question # 27
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Question # 28
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cos 3x + c
- cos 3x + c
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Question # 29
∫
f
(x) is known as:
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Definite itegral
Indefinite integral
Fixed integral
Multiple integral
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Question # 30
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Question # 31
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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