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Mathematics ECAT Pre Engineering Chapter 19 Integration Online Test MCQs With Answers
Question # 1
Which of the following integrals can be evaluated
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Question # 2
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sec 3x + c
- cosec 3x + c
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Question # 3
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2, 3
3, 3
2, 6
2, 4
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Question # 4
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Question # 5
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 # 6
∫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 # 7
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 8
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Question # 9
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Question # 10
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 11
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sin x + c
-sin x + c
cos x + c
-cos x + c
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Question # 12
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a tan(ax + b) + c
- a tan(ax + b) + c
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Question # 13
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Question # 14
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x
2
+ 2x + c
(x
2
+ 2x -1)
4
+ c
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Question # 15
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sec 5x + c
- sec 5x + c
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Question # 16
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 # 17
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cot x + c
tan x + c
-cot x + c
-tan x + c
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Question # 18
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In(x
2
- x + 1) + c
In(2x - 1) + c
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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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X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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Question # 22
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x
-2
+ c
not possible
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Question # 23
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Question # 24
The set of all antiderivaties of f(= ∫f(x)dx) is the
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Definite integral
Indefinite integral
Integral
Area
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Question # 25
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Question # 26
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Question # 27
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Question # 28
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Question # 29
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 # 30
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a f(x) + c
f(x) + a
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Question # 31
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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