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Mathematics ECAT Pre Engineering Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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a
x
In a + c
a
x
+ c
x a
x
+ c
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Question # 2
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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 # 3
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Question # 4
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Question # 5
∫
f
(x) is known as:
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Definite itegral
Indefinite integral
Fixed integral
Multiple integral
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Question # 6
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sec 5x + c
- sec 5x + c
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Question # 7
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Question # 8
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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Question # 9
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 # 10
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1
2
3
4
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Question # 11
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sin x + c
-sin x + c
cos x + c
-cos x + c
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Question # 12
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 13
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In(x
2
- x + 1) + c
In(2x - 1) + 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
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 # 16
∫Sec
2
(ax + b) dx is equal to:
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tan
2
(ax + b)
1/a tan
2
(ax + b)
1/atan (ax +b)
tan (ax + b)
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Question # 17
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 18
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Question # 19
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(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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Question # 20
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 # 21
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2, 3
3, 3
2, 6
2, 4
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Question # 22
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x
2
+ 2x + c
(x
2
+ 2x -1)
4
+ c
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Question # 23
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 24
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Question # 25
The differential equations of all conis whose axes coincide with the co-ordinate axis is
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Question # 26
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 27
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Question # 28
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Question # 29
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Question # 30
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 # 31
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π
π/6
-
π/2
2
π
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