Question # 1

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

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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cot x

- cot x

cosec x cot x

-cosec x cot x

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Derivative

Differential

Integral

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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Integral

Indefinite integral

Differential

Definite integral

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

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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0

1

2

4

An integral of 3x² is:

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x³+c

3

6x

x^2+c

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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a cosec (ax + b)

cot (ax + b)

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2

1

If y = sin x then dy =

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cosy dx

cos x

cosx dx

cos xdy

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cos x + c

- cos x + c

sin x + c

-sin x + c

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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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ln |sin x|

- ln |sin x|

ln |cos x|

-ln |cos x|

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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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