Calculus Flashcards

1
Q

Evaluate

∫tan(x)dx

A

= -ln(cos(x))

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2
Q

differentiate

tan(x)

A
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3
Q

Evaluate

∫sin(x)dx

A

=-cos(x)

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4
Q

Differentiate

sin(x)

A

= cos(x)

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5
Q

Evaluate

∫cos(x) dx

A

= sin(x)

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6
Q

Differentiate

cos(x)

A

-sin(x)

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7
Q

∫ex dx

A

ex

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8
Q

Differentiate

ex

A

ex

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9
Q

Evaluate

∫ln(x) dx

A

x (ln(x)-1)

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10
Q

Differentiate

ln(x)

A

1

x

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11
Q

Differentiate

√x

A

1

2√x

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12
Q

Evaluate

∫√x dx

A

(2*x^(3/2))/3

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13
Q

Evaluate

1/x dx

A

ln(|x|)

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14
Q

Differentiate

1

x

A

-1

x2

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15
Q

Evaluate

∫x2 dx

A

x^3 / 3

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16
Q

Differentiate

x2

A

2x

17
Q

Evaluate

∫4x dx

A

(4^x)/(ln(4))

18
Q

Differentiate

4x

A

ln(4)⋅4^x

19
Q

Evaluate

∫x dx

A

x^2/2

20
Q

Differentiate

x

A

=1

21
Q

Evaluate

∫ax dx

A

ax^2 / 2

22
Q

Differentiate

ax

A

a

23
Q

Evaluate

∫cos(ax) dx

A

sin(ax)

a

24
Q

Differentiate

cos(ax)

A

-a sin(ax)

25
Q

Evaluate

∫sin(ax) dx

A

-cos(ax)

a

26
Q

Differentiate

sin(ax)

A

a cos(ax)