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ECAT Mathematics Chapter 19 Integration Online Test MCQs With Answers
Question # 1
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 # 2
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Question # 3
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 # 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
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a cot(ax + b) + c
- a cot(ax + b) + c
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Question # 7
The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is
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1.2%
1.5%
0.16%
100.16%
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Question # 8
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Question # 9
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Question # 10
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Question # 11
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 12
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 # 13
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Question # 14
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Question # 15
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 16
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Question # 17
Which of the following integrals can be evaluated
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Question # 18
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Question # 19
The differential equation of all st. lines which are at a constant distance to form the origin is
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Question # 20
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Question # 21
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2, 3
3, 3
2, 6
2, 4
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Question # 22
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Question # 23
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Question # 24
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Question # 25
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 26
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a tan(ax + b) + c
- a tan(ax + b) + c
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Question # 27
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Question # 28
∫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 # 29
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Question # 30
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