Integral Formulas Flashcards

1
Q

Integral of: du

A

u+C

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2
Q

Integral of: kf(u)du

A

K~f(u)du

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3
Q

Integral of: [f(u)+_ g(u)]du

A

~f(u)du +_ ~g(u)du + C

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4
Q

Integral of: u^ndu

A

(u^n+1/ n+1) + C

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5
Q

Integral of: du/u

A

ln|u| + C

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6
Q

Integral of: e^u du

A

e^u + C

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7
Q

Integral of: Sin(u)du

A

-Cos(u) + C

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8
Q

Integral of: Cos(u)du

A

Sin(u) + C

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9
Q

Integral of: Tan(u)du

A

-ln|Cos(u)| + C

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10
Q

Integral of: Csc(u)du

A

-ln|Csc(u)+Cot(u)| + C

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11
Q

Integral of: Sec(u)du

A

ln|Sec(u)+Tan(u)| + C

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12
Q

Integral of: Cot(u)du

A

ln|Sin(u)| + C

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13
Q

Integral of: Sec^2(u)du

A

Tan(u) + C

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14
Q

Integral of: Csc^2(u)du

A

-Cot(u) + C

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15
Q

Integral of: Sec(u)Tan(u)du

A

Sec(u) + C

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16
Q

Integral of: Csc(u)Cot(u)du

A

-Csc(u) + C

17
Q

Integral of: du/ (a^2 - u^2)^1/2

A

arcsin(u/a) + C

18
Q

Integral of: du/ a^2 + u^2

A

(1/a)arctan(u/a) + C

19
Q

Integral of: du/ u(a^2 - u^2)^1/2

A

(1/a)arcsec(|u|/a) + C

20
Q

Integral of: kf(u)du

A

K~f(u)+C