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ECAT Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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 # 2
∫x/Sin
2
x dx is equal to:
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x cot x + ln|sinx |
-x cot x - ln|sinx |
x cot x - ln|sinx |
x. tan x- ln|secx |
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Question # 3
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In(x
2
- x + 1) + c
In(2x - 1) + c
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Question # 4
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 # 5
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Question # 6
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Question # 7
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Question # 8
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x
-2
+ c
not possible
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Question # 9
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 # 10
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a cos(ax + b) + c
- a cos(ax + b) + c
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Question # 11
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5x
4 + c
1/6 x
6
+ c
5x
2
+ c
1/5 x
6
+ c
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Question # 12
Which of the following integrals can be evaluated
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Question # 13
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A variable
A constant
0
None of these
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Question # 14
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sec 5x + c
- sec 5x + c
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Question # 15
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Question # 16
∫ 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 # 17
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Question # 18
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a sin(ax + b) + c
- a sin(ax + b) + c
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Question # 19
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Question # 20
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 # 21
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Question # 22
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Question # 23
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Always negative
Zero
Always positive
Infinity
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Question # 24
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1
2
3
4
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Question # 25
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Question # 26
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x
3
- x
2
+ x + c
6x - 2 + c
x
3
- 2x + c
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Question # 27
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Question # 28
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Question # 29
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sec 3x + c
- cosec 3x + c
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Question # 30
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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