Math Antiderivatives Flashcards

1
Q

Antiderivative: 1/y

A

ln abs(y)

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2
Q

Derivative: arctan

A

1
————
1 + x^2

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3
Q

Derivative: arcsin

A

1
—————
Sqrt(1 - x^2)

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4
Q

Derivative: arccos

A

-1
—————
Sqrt(1-x^2

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5
Q

Antiderivative: cos

A

sin

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6
Q

Antiderivative: sin

A

-cos

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7
Q

Antiderivative: sec^2

A

Tan

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8
Q

Csc^2

A

-cot

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9
Q

Sec tan

A

Sec

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10
Q

Csc cot

A

-csc

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11
Q

e^ax

A

(1/a) e^ax

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12
Q

1
—————
(a2 - x^2)^1/2

A

Arcsin (x/a)

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13
Q

-1
—————
(a2 - x^2)^1/2

A

Arccos (x/a)

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14
Q

1
—————
(a2 + x^2)

A

(x/a)Arctan (x/a)

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15
Q

Tan x

A

-ln abs(cosx) + c

ln abs(secx) +c

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16
Q

Cot

A

Ln abs(sin x) +c

17
Q

Secx

A

Ln abs(sec + tan) +c

18
Q

Csc

A

-ln abs(csc + cot) +c

19
Q

U should be….:

Ln x

Or 1/x

A

Ln x — du= 1/x dx