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Online Tests

ECAT Pre General Science Mathematics Chapter 19 Integration Online Test MCQs With Answers

Question # 1

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Question # 2

An integral of 1/x dx is:

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1/x²

1/-x²

1/lnx

lnx

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Question # 3

∫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 # 4

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Question # 5

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none of these

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Question # 6

The differential equation of all st. lines which are at a constant distance to form the origin is

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Question # 7

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Question # 8

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 # 9

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Question # 10

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 # 11

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x³- x²+ x + c

6x - 2 + c

x³- 2x + c

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Question # 12

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Question # 13

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a sin(ax + b) + c

- a sin(ax + b) + c

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Question # 14

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 # 15

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Question # 16

The area between the x-axis and the curve y = x² + 1 from x = 1 to 2 is:

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15/6

15/4

10/4

10/3

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Question # 17

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cos x + c

-sin x + c

-cos x + c

sin x + c

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Question # 18

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 # 19

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Question # 20

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0

1

2

4

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Question # 21

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tan 3x + c

cot 3x + c

- cot 3x + c

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Question # 22

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2, 3

3, 3

2, 6

2, 4

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Question # 23

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a cos(ax + b) + c

- a cos(ax + b) + c

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Question # 24

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Question # 25

∫Sec² (ax + b) dx is equal to:

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tan² (ax + b)

1/a tan² (ax + b)

1/atan (ax +b)

tan (ax + b)

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Question # 26

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Question # 27

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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Question # 28

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a tan(ax + b) + c

- a tan(ax + b) + c

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Question # 29

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1 + tan²x + c

tan x + c

-tan x + c

cot x + c

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Question # 30

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4(x³- 3x²)³+ c

3x²- 6x + c

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Question # 31

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