Question # 1

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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f(x)

ln |f(x)|

f'(x)

ln |f'(x)|

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cot x

- cot x

cosec x cot x

-cosec x cot x

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

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cos x + c

- cos x + c

sin x + c

-sin x + c

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domain

range

lower limit

upper limit

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Integration

Integrand

Constant of integration

None of these

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

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Positive

Positive or negative

Negative

Positive and negative

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integration by parts

definite integral

Differentation

None of these

If the lower limit is a constant and the upper 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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Integral

Indefinite integral

Differential

Definite integral

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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

An integral of 3x² is:

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x³+c

3

6x

x^2+c

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Integration

Integrand

Constant of integration

None of these

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0

1

2

4

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ln |sin x|

- ln |sin x|

ln |cos x|

-ln |cos x|

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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36

42

48

12

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Integration by parts

Definite integral

Differentiation

None of these

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equal to each other

not equal to each other

nearly equal to each other

None of these

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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ICS Part 2 Mathematics Chapter 3 Test Online MCQs With Answers

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