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Online Tests

Mathematics ECAT Pre Engineering Chapter 19 Integration Online Test MCQs With Answers

Question # 1

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1 + tan²x + c

tan x + c

-tan x + c

cot x + c

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Question # 2

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1

2

3

4

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Question # 3

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 # 4

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Question # 5

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Question # 6

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cot x + c

tan x + c

-cot x + c

-tan x + c

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Question # 7

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π

π/6

-π/2

2π

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Question # 8

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 # 9

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Question # 10

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 # 11

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Question # 12

∫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 # 13

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Question # 14

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Question # 15

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In f(x) + c

f(x) - c

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Question # 16

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Question # 17

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

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Question # 18

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cos x + c

-sin x + c

-cos x + c

sin x + c

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Question # 19

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1

2

3

4

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Question # 20

If the graph of f is entirely below the x-axis, then the value of definite integral is

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= 0

< 0

> 0

None

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Question # 21

Which of the following integrals can be evaluated

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Question # 22

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Always negative

Zero

Always positive

Infinity

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Question # 23

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Question # 24

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a sin(ax + b) + c

- a sin(ax + b) + c

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Question # 25

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 # 26

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sec 5x + c

- sec 5x + c

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Question # 27

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Question # 28

The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called

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Boundaries

Variable separable

Initial values

None

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Question # 29

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Question # 30

Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is

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2

3

4

1

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Question # 31

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