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ECAT Pre General Science Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
The process of finding a function whose derivative is given is called a
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Differentiation
Integration
Differential
None
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Question # 2
Which of the following integrals can be evaluated
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Question # 3
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 # 4
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a cot(ax + b) + c
- a cot(ax + b) + c
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Question # 5
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x
-2
+ c
not possible
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Question # 6
∫
f
(x) is known as:
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Definite itegral
Indefinite integral
Fixed integral
Multiple integral
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Question # 7
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Question # 8
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 # 9
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Question # 10
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Question # 11
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0
1
2
4
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Question # 12
The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is
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Question # 13
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Question # 14
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A variable
A constant
0
None of these
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Question # 15
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 # 16
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sin 2x + c
-sin 2x + c
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Question # 17
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Question # 18
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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 # 19
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sin x + c
-sin x + c
cos x + c
-cos x + c
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Question # 20
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 # 21
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 # 22
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 23
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 # 24
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Question # 25
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 # 26
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X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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Question # 27
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 # 28
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 29
∛8.6 is approximately equal to
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2.488
2.48
2.0488
2.05
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Question # 30
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Question # 31
∫ x cos dx is equal to :
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x cos x + sin x
cos x + x sin x
x cos x + x sin x
x sin x + cos x
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