Antiderivative Rules Flashcards

1
Q

e^x

A

e^x + C

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2
Q

a^x

A

[a^x/In(a)] + C

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3
Q

1/x

A

ln|x|+C

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4
Q

cos(x)

A

sin(x) + C

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5
Q

Sec^2(x)

A

Tan(x) + C

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6
Q

Sin (x)

A

-cos(x) + C

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7
Q

csc^2(x)

A

-cot(x) + C

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8
Q

Sec(x)tan(x)

A

Sec(x) + C

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9
Q

1/1+x^2

A

arctan(x) + C

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10
Q

1/√1-x^2

A

arcsin(x) + C

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11
Q

Csc(x)Cot(x)

A

-csc(x) + C

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12
Q

Sec(x)

A

In|sec(x) + tan(x)| + C

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13
Q

Csc(x)

A

-ln|csc(x) + cot(x)| + C

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14
Q

X^n

A

X^n+1/n+1

When n doesnt = -1

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15
Q

√x

A

X^1/2, do power rule

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16
Q

Tan(0)

A

0

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17
Q

Cos(0)

A

1

18
Q

Sin(0)

A

0

19
Q

∛x

A

X^1/3

20
Q

Cos(π/2)

A

0

21
Q

Sin(π/2)

A

1

22
Q

In(1)

A

0

23
Q

e^0

A

1

24
Q

In(0)

A

Undefined

25
Q

Csc(π/2)

A

1

26
Q

Cot(π/2)

A

0

27
Q

Sec(0)

A

1

28
Q

X^-2

A

1/x^2

29
Q

1/√u

A

2 √u

30
Q

In(x)

A

[x(In(x))-x]+C

31
Q

Tan(x)

A

In|sec(x)|

32
Q

Cot(x)

A

In|sin(x)| + C

33
Q

K

A

Kx+C

34
Q

1/ax+b

A

1/aIn|ax+b| + C

35
Q

1/(ax+b)^x

A

[-1/(n-1)a(ax+b)^n-1]+C

36
Q

1/u^4

A

-1/3u^3

37
Q

e^2x

A

e^2x/2

38
Q

Cos(pi)

A

-1

39
Q

Sin(pi)

A

0

40
Q

Tan(pi)

A

0

41
Q

Sec(pi)

A

-1