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ECAT Pre General Science Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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1 + tan
2
x + c
tan x + c
-tan x + c
cot x + c
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Question # 2
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Question # 3
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 # 4
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Question # 5
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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Question # 6
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Question # 7
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 # 8
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Question # 9
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 # 10
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Question # 11
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 # 12
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Question # 13
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 # 14
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Question # 15
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Question # 16
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In f(x) + c
f(x) - c
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Question # 17
∫x sin xdx is equal to:
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sin x/x + cos x
sin x - cos x/x
x cos x + sin x
- x cos x + sin x
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Question # 18
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Question # 19
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a sin(ax + b) + c
- a sin(ax + b) + c
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Question # 20
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Question # 21
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 22
The area between the x-axis and the curve y = x
2
+ 1 from x = 1 to 2 is:
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15/6
15/4
10/4
10/3
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Question # 23
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a f(x) + c
f(x) + a
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Question # 24
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π
π/6
-
π/2
2
π
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Question # 25
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 26
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Question # 27
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 # 28
∫
f
(x) is known as:
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Definite itegral
Indefinite integral
Fixed integral
Multiple integral
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Question # 29
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 # 30
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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