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ECAT Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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Question # 2
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 # 3
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 4
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Question # 5
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sec 3x + c
- cosec 3x + c
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Question # 6
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 # 7
∫
f
(x) is known as:
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Definite itegral
Indefinite integral
Fixed integral
Multiple integral
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Question # 8
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Question # 9
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 10
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tan 3x + c
cot 3x + c
- cot 3x + c
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Question # 11
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π
π/6
-
π/2
2
π
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Question # 12
Which of the following integrals can be evaluated
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Question # 13
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2x + 3
x
2
+ 3 + c
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Question # 14
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 # 15
∫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 # 16
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 17
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 18
The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is
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Question # 19
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Question # 20
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In f(x) + c
f(x) - c
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Question # 21
If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a
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Constant function
Variable value
Function of upper limit
All
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Question # 22
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a tan(ax + b) + c
- a tan(ax + b) + c
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Question # 23
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(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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Question # 24
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Question # 25
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Question # 26
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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 # 27
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Question # 28
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Question # 29
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sec 5x + c
- sec 5x + c
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Question # 30
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sin 2x + c
-sin 2x + c
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Question # 31
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