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ECAT Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
∫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 # 2
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y + 1 = Ae
x
y + 1 = Axe
x
xe
x
= C
y + xe
x
= C
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Question # 3
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Question # 4
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a cos(ax + b) + c
- a cos(ax + b) + c
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Question # 5
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 # 6
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 7
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x
-2
+ c
not possible
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Question # 8
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 # 9
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tan 3x + c
cot 3x + c
- cot 3x + c
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Question # 10
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1 + tan
2
x + c
tan x + c
-tan x + c
cot x + c
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Question # 11
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Question # 12
∫
f
(x) is known as:
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Definite itegral
Indefinite integral
Fixed integral
Multiple integral
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Question # 13
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Question # 14
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 # 15
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Question # 16
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Question # 17
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Question # 18
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Question # 19
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Question # 20
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Question # 21
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 22
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x
2
+ 2x + c
(x
2
+ 2x -1)
4
+ c
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Question # 23
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 # 24
The process of finding a function whose derivative is given is called a
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Differentiation
Integration
Differential
None
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Question # 25
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Question # 26
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2, 3
3, 3
2, 6
2, 4
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Question # 27
The differential equations of all conis whose axes coincide with the co-ordinate axis is
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Question # 28
The area between the x-axis the curve y =4x-x2 is :
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32/2
15
18
21
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Question # 29
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Question # 30
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Question # 31
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