Anti-Derivatives Flashcards

1
Q

f(x)=c

A

F(x) = cx

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2
Q

f(x)+g(x)

A

F(x)+G(x)

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3
Q

x^n (n != -1)

A

(x^(n+1))/(n+1)

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4
Q

1/x

A

ln|x|

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5
Q

e^x

A

e^x

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6
Q

c^x

A

(c^x)/(ln(c))

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7
Q

cos(x)

A

sin(x)

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8
Q

sin(x)

A

-cos(x)

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9
Q

sec²(x)

A

tan(x)

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10
Q

sec(x)tan(x)

A

sec(x)

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11
Q

1/(sqrt(1-x²))

A

arcsin(x)

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12
Q

1/(1+x²)

A

arctan(x)

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13
Q

1/(sqrt(1-x²))

A

arcsin(x)

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14
Q

1/(1+x²)

A

arctan(x)

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15
Q

1/(x(sqrt(x² - 1)))

A

arcsec(x)

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16
Q

csc²(x)

A

cot(x)

17
Q

tan(x)

A

ln|sec(x)|

18
Q

cot(x)

A

ln|sin(x)|