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Online Tests

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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a cot(ax + b) + c

- a cot(ax + b) + c

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Question # 3

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1

2

3

4

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Question # 4

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 # 5

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a tan(ax + b) + c

- a tan(ax + b) + c

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Question # 6

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Question # 7

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Y = -x log x -x + c

Y = x log x + x

Y = x log x - x + c

None of these

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Question # 8

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Question # 9

The area enclosed between the graph y = x²-4x and the x- axis is:

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20/3

41/3

32/3

25/3

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Question # 10

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x^-2+ c

not possible

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Question # 11

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y + 1 = Ae^x

y + 1 = Axe^x

xe^x= C

y + xe^x= C

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Question # 12

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cos 2x + c

- cos 2x + c

tan 2x + c

cot 2x + c

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Question # 13

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sin 2x + c

-sin 2x + c

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Question # 14

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cos x + c

-sin x + c

-cos x + c

sin x + c

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Question # 15

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1 + tan²x + c

tan x + c

-tan x + c

cot x + c

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Question # 16

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In(x²- x + 1) + c

In(2x - 1) + c

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Question # 17

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Question # 18

An integral of 1/x dx is:

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1/x²

1/-x²

1/lnx

lnx

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Question # 19

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a^xIn a + c

a^x+ c

x a^x+ c

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Question # 20

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 # 21

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 # 22

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6x - 2 + c

x³- x²+ x + c

6x - x²+ c

6x³- x²+ c

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Question # 23

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Question # 24

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tan 3x + c

cot 3x + c

- cot 3x + c

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Question # 25

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cot x + c

tan x + c

-cot x + c

-tan x + c

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Question # 26

Which of the following integrals can be evaluated

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Question # 27

The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is

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0.4cm

8.8πcm

17.6 πcm

35.2πcm

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Question # 28

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5x^{4 + c}

1/6 x⁶+ c

5x²+ c

1/5 x⁶+ c

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Question # 29

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1

2

3

4

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Question # 30

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Question # 31

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