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ECAT Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
∫Sec
2
(ax + b) dx is equal to:
Choose an answer
tan
2
(ax + b)
1/a tan
2
(ax + b)
1/atan (ax +b)
tan (ax + b)
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Question # 2
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Question # 3
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none of these
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Question # 4
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Question # 5
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x
2
+ 2x + c
(x
2
+ 2x -1)
4
+ 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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Question # 10
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a cosec(ax + b) + c
- a cosec(ax + b) + c
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Question # 11
The area bounded by y = x (x2 - 4) and below x - axis is
Choose an answer
4
0
-4
8
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Question # 12
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 13
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In(x
2
- x + 1)
4
+ c
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Question # 14
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Question # 15
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 # 16
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x
3
- x
2
+ x + c
6x - 2 + c
x
3
- 2x + c
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Question # 17
Choose an answer
X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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Question # 18
Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is
Choose an answer
2
3
4
1
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Question # 19
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 20
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 21
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Question # 22
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Question # 23
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Question # 24
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 # 25
The differential equation of all st. lines which are at a constant distance to form the origin is
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Question # 26
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tan 3x + c
cot 3x + c
- cot 3x + c
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Question # 27
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2x + 3
x
2
+ 3 + c
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Question # 28
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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 # 29
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 # 30
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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