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Online Tests
ECAT Pre General Science Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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 # 2
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 # 3
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Question # 4
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 5
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Question # 6
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Question # 7
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Question # 8
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 # 9
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1
2
3
4
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Question # 10
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a tan(ax + b) + c
- a tan(ax + b) + c
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Question # 11
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a f(x) + c
f(x) + a
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Question # 12
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6x + 2 + c
6x + x
2
+ c
6x
3
+ x
2
+ x
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Question # 13
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Question # 14
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Question # 15
An integral of 1/x dx is:
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1/x
2
1/-x
2
1/lnx
lnx
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Question # 16
∛8.6 is approximately equal to
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2.488
2.48
2.0488
2.05
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Question # 17
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Question # 18
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Question # 19
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e
x
+ c
e
-x
+ c
x e
x
+ c
not possible
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Question # 20
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2, 3
3, 3
2, 6
2, 4
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Question # 21
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sin 2x + c
-sin 2x + c
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Question # 22
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 23
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Question # 24
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sin x + c
-sin x + c
cos x + c
-cos x + c
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Question # 25
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 # 26
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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 # 27
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 28
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a cos(ax + b) + c
- a cos(ax + b) + c
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Question # 29
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tan 3x + c
cot 3x + c
- cot 3x + c
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Question # 30
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Question # 31
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(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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