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ECAT Pre General Science Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
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Question # 4
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Question # 5
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 # 6
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 7
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Question # 8
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Question # 9
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Always negative
Zero
Always positive
Infinity
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Question # 10
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Question # 11
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 12
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 13
∫sin(ax+b) dx is equal to:
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1/2a cos (ax + b)
-1/a cos (ax +b)
1/a cos (ax +b)
1/a ln (ax + b)
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Question # 14
The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called
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Boundaries
Variable separable
Initial values
None
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Question # 15
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Question # 16
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 # 17
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 # 18
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 # 19
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a sin(ax + b) + c
- a sin(ax + b) + c
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Question # 20
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Question # 21
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y + 1 = Ae
x
y + 1 = Axe
x
xe
x
= C
y + xe
x
= C
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Question # 22
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a f(x) + c
f(x) + a
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Question # 23
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Question # 24
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X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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Question # 25
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Question # 26
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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 # 27
The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is
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Question # 28
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Question # 29
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Question # 30
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Question # 31
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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