Question # 1

An integral of 3x² is:

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x³+c

3

6x

x^2+c

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equal to each other

not equal to each

nearly equal to each other

none of these

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0

1

2

4

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

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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0

1

2

3

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f(x)

ln |f(x)|

f'(x)

ln |f'(x)|

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equal to each other

not equal to each other

nearly equal to each other

None of these

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cos x + c

- cos x + c

sin x + c

-sin x + c

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36

42

48

12

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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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domain

range

lower limit

upper limit

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

If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

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0.1204

.12

.02

1.2

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domain

range

lower limit

upper limit

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Integration by parts

Definite integral

Differentiation

None of these

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ln |sin x|

- ln |sin x|

ln |cos x|

-ln |cos x|

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