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Mathematics ECAT Pre Engineering Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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Question # 2
∫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 # 3
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Question # 4
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 # 5
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2, 3
3, 3
2, 6
2, 4
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Question # 6
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Question # 7
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 # 8
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 # 9
The integral of 3x
5
dx is:
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15 x
4
x
6
/2
1/6x
5
x
5
/ln3
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Question # 10
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Question # 11
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 12
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In f(x) + c
f(x) - c
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Question # 13
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 # 14
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X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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Question # 15
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Question # 16
Which of the following integrals can be evaluated
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Question # 17
The differential equations of all conis whose axes coincide with the co-ordinate axis is
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Question # 18
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Question # 19
An equation in which at least one term contains dy/dx, d
2
y /dx
2
etc, is called.
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Differential equation
Initial condition
General solution
Singular equation
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Question # 20
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Question # 21
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 # 22
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Question # 23
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x
2
+ 2x + c
(x
2
+ 2x -1)
4
+ c
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Question # 24
∫
f
(x) is known as:
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Definite itegral
Indefinite integral
Fixed integral
Multiple integral
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Question # 25
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Question # 26
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6x + 2 + c
6x + x
2
+ c
6x
3
+ x
2
+ x
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Question # 27
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a cosec(ax + b) + c
- a cosec(ax + b) + c
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Question # 28
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A variable
A constant
0
None of these
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Question # 29
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sin x + c
-sin x + c
cos x + c
-cos x + c
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Question # 30
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Question # 31
∫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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