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Online Tests
ECAT Pre General Science Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is
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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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Question # 4
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Question # 5
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2x - 3x + c
x
2
- 3x + c
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Question # 6
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 # 7
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a cot(ax + b) + c
- a cot(ax + b) + c
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Question # 8
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2, 3
3, 3
2, 6
2, 4
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Question # 9
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Question # 10
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Question # 11
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Question # 12
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Question # 13
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Question # 14
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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 # 15
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Question # 16
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 # 17
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 18
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e
x
+ c
e
-x
+ c
x e
x
+ c
not possible
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Question # 19
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In(x
2
- x + 1) + c
In(2x - 1) + c
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Question # 20
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Question # 21
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sin 2x + c
-sin 2x + c
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Question # 22
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 # 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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X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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Question # 25
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Question # 26
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Question # 27
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A variable
A constant
0
None of these
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Question # 28
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Question # 29
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 30
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cos 3x + c
- cos 3x + c
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Question # 31
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1 + tan
2
x + c
tan x + c
-tan x + c
cot x + c
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