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ECAT Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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sec 3x + c
- cosec 3x + c
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Question # 2
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 3
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Question # 4
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Question # 5
Archimedes approximate the function by horizontal function and the area under f by the sum of small
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Parallelograms
Squares
Retangles
Polygons
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Question # 6
An integral of 1/x dx is:
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1/x
2
1/-x
2
1/lnx
lnx
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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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2x - 3x + c
x
2
- 3x + c
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Question # 11
The differential equations of all conis whose axes coincide with the co-ordinate axis is
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Question # 12
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A variable
A constant
0
None of these
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Question # 13
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 14
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Question # 15
The area under the curve y = 1/x
2
between x = 1 and x =4 is:
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-25
0.75
-0.35
-10
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Question # 16
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2x + 3
x
2
+ 3 + c
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Question # 17
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6x - 2 + c
x
3
- x
2
+ x + c
6x - x
2
+ c
6x
3
- x
2
+ c
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Question # 18
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sin 2x + c
-sin 2x + c
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Question # 19
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(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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Question # 20
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 # 21
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Question # 22
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Question # 23
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Question # 24
∫
f
(x) is known as:
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Definite itegral
Indefinite integral
Fixed integral
Multiple integral
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Question # 25
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cos 3x + c
- cos 3x + c
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Question # 26
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 # 27
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Question # 28
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Question # 29
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Always negative
Zero
Always positive
Infinity
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Question # 30
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Question # 31
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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