Antiderivative formulas Flashcards

1
Q

int x^n

A

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

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2
Q

int 1/x

A

ln(x) +c

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3
Q

int e^x

A

e^x + c

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4
Q

int sin(x)

A

-cos(x) + c

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5
Q

int cos(x)

A

sin(x) + c

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6
Q

int sec^2(x)

A

tan(x) + c

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7
Q

int sec(x)tan(x)

A

sec(x) + c

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8
Q

int csc^2(x)

A

-cot(x) + c

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9
Q

int cot(x)csc(x)

A

-csc(x) + c

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10
Q

int 1/(x^2 + 1)

A

arctan + c

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11
Q

int 1/sqrt (1-x^2)

A

arcsin + c

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12
Q

int 1/absxsqrt (x^2 - 1)

A

arcsec + c

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13
Q

int -1/x^2 + 1

A

arccot + c

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14
Q

int -1/sqrt(1-x^2)

A

arccos + c

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15
Q

int -1/ absxsqrt(x^2-1)

A

arccsc + c

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16
Q

int a^x

A

a^x/ln(x) + c

17
Q

int ln(u)

A

ulnu - u + c

18
Q

int logbsa(u)

A

ulnu-u/ln(a) + c