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ECAT Pre General Science Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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 # 2
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Question # 3
The area bounded by y = x (x2 - 4) and below x - axis is
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4
0
-4
8
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Question # 4
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Question # 5
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e
x
+ c
e
-x
+ c
x e
x
+ c
not possible
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Question # 6
f(x)g(x)- ∫g(x) f′(x) dx is equal to
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∫f(x)g′(x)dx
∫f′(x)g(x)dx
∫f′(x)g(x)′dx
∫f(x)g(x)dx
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Question # 7
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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 # 8
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a cos(ax + b) + c
- a cos(ax + b) + c
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Question # 9
∫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 # 10
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 # 11
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Question # 12
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sin x + c
-sin x + c
cos x + c
-cos x + c
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Question # 13
Which of the following integrals can be evaluated
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Question # 14
∫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 # 15
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 16
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Question # 17
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Question # 18
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Question # 19
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 # 20
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2x + 3
x
2
+ 3 + c
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Question # 21
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 # 22
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 23
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 # 24
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 25
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Question # 26
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Question # 27
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none of these
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Question # 28
Which of the following integrals can be evaluated
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Question # 29
The differential equations of all conis whose axes coincide with the co-ordinate axis is
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Question # 30
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Question # 31
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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