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Online Tests
Mathematics ECAT Pre Engineering Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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 # 2
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Question # 3
The area enclosed between the graph y = x
2
-4x and the x- axis is:
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20/3
41/3
32/3
25/3
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Question # 4
∫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 # 5
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Question # 6
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Question # 7
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Question # 8
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Question # 9
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Question # 10
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sin 2x + c
-sin 2x + c
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Question # 11
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Question # 12
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Question # 13
The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is
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Question # 14
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 # 15
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 16
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Question # 17
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a tan(ax + b) + c
- a tan(ax + b) + c
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Question # 18
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sin x + c
-sin x + c
cos x + c
-cos x + c
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Question # 19
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Question # 20
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e
x
+ c
e
-x
+ c
x e
x
+ c
not possible
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Question # 21
∫
f
(x) is known as:
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Definite itegral
Indefinite integral
Fixed integral
Multiple integral
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Question # 22
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Question # 23
Which of the following integrals can be evaluated
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Question # 24
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 25
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 # 26
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a cosec(ax + b) + c
- a cosec(ax + b) + c
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Question # 27
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Question # 28
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X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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Question # 29
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Question # 30
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Question # 31
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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