Question # 1

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If the upper limit is a constant and the lower limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

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Integration

Integrand

Constant of integration

None of these

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0

1

2

4

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cosec x + c

-cosec x + c

cot x + c

- cot x + c

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cot x

- cot x

cosec x cot x

-cosec x cot x

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2

1

The technique or method to find such a function whose derivative is given involves the inverse process of differentiation called:

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Differentiation

Integration

Differential

None of these

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x| + c

ln |cosec x + cot x | + c

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36

42

48

12

Area between x-axis and the curve:

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32

16

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integration by parts

definite integral

Differentation

None of these

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x | + c

ln |cosec x + cot x | + c

If the graph of f is entirely above the x-axis, then the definite integral is _______:

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Positive

Positive or negative

Negative

Positive and negative

The general solution of differential equation of order n contains n arbitrary constants, which can be determined by ------------ initial value conditions.

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1

0

2

n

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tan x + c

- tan x + c

sec x tan x + c

- sec x tan x + c

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domain

range

lower limit

upper limit

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0

1

2

3

The term dy (or df) = f '(x) dx is called the __________ of the dependent variable y.

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Differentiation

Integration

Differential

None of these

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a cosec (ax + b)

cot (ax + b)

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