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ECAT Pre General Science Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 2
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2, 3
3, 3
2, 6
2, 4
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Question # 3
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tan 3x + c
cot 3x + c
- cot 3x + c
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Question # 4
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 # 5
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a cosec(ax + b) + c
- a cosec(ax + b) + c
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Question # 6
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Question # 7
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X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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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
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Question # 10
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Question # 11
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Question # 12
Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is
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2
3
4
1
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Question # 13
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A variable
A constant
0
None of these
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Question # 14
An integral of 1/x dx is:
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1/x
2
1/-x
2
1/lnx
lnx
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Question # 15
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y + 1 = Ae
x
y + 1 = Axe
x
xe
x
= C
y + xe
x
= C
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Question # 16
If the graph of f is entirely below the x-axis, then the value of definite integral is
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= 0
< 0
> 0
None
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Question # 17
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 # 18
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Question # 19
The function ø(x) is ananti derivativeof function f (x),x∈Df if
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ø′(x) =∫f(x)dx
ø(x) =∫f(x)dx
ø′(x) =f(x)
ø(x) =∫′(x)dx
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Question # 20
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Question # 21
The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is
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1.2%
1.5%
0.16%
100.16%
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Question # 22
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Question # 23
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cos 3x + c
- cos 3x + c
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Question # 24
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Question # 25
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Question # 26
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 # 27
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Question # 28
Which of the following integrals can be evaluated
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Question # 29
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6x + 2 + c
6x + x
2
+ c
6x
3
+ x
2
+ x
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Question # 30
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