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Mathematics ECAT Pre Engineering Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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Question # 2
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 # 3
∛8.6 is approximately equal to
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2.488
2.48
2.0488
2.05
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Question # 4
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Question # 5
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sec 5x + c
- sec 5x + c
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Question # 6
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Question # 7
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Question # 8
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Question # 9
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6x + 2 + c
6x + x
2
+ c
6x
3
+ x
2
+ x
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Question # 10
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Question # 11
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Question # 12
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Question # 13
Archimedes approximate the function by horizontal function and the area under f by the sum of small
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Parallelograms
Squares
Retangles
Polygons
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Question # 14
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Question # 15
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 # 16
The solution of differential equation:
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dy/dx+y/x = x
2
is :
4xy = x
4
+ c
4x = x
4
= c
4 y = x
4
+ c
4x=4x
3
+ c
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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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6x - 2 + c
x
3
- x
2
+ x + c
6x - x
2
+ c
6x
3
- x
2
+ c
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Question # 19
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 20
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X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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Question # 21
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Question # 22
Which of the following integrals can be evaluated
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Question # 23
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x
3
- x
2
+ x + c
6x - 2 + c
x
3
- 2x + c
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Question # 24
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Question # 25
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 # 26
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Question # 27
If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a
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Constant function
Variable value
Function of upper limit
All
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Question # 28
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Question # 29
∫ 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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Question # 30
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Question # 31
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