Integrals Flashcards

1
Q

∫kf(u) du

A

k∫f(u) du

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2
Q

∫[f(u) +- g(u)] du

A

∫f(u)du +- ∫g(u) du

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3
Q

∫ du

A

u + C

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4
Q

∫un du

A

nn+1/n+1 + C

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5
Q

∫du/n

A

ln|u|+ C

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6
Q

∫en du

A

en + C

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7
Q

∫au du

A

(1/ln a) * an + C

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8
Q

∫ sin u du

A

-cos u + C

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9
Q

∫cos u du

A

sin u + C

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10
Q

∫tan u du

A

-ln|cos u| + C

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11
Q

∫cot u du

A

ln|sin u| + C

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12
Q

∫sec u du

A

ln|sec u + tan u} + C

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13
Q

∫csc u du

A

-ln|csc u + cot u| + C

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14
Q

∫sec2 u du

A

tan u + C

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15
Q

∫csc2 u du

A

-cot u + C

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16
Q

∫sec u tan u du

A

sec u + C

17
Q

∫csc u cot u du

A

-csc u + C

18
Q

∫du/(a2-u2)1/2

A

arcsin u/a + C

19
Q

∫du/(a2 + u2)

A

1/a * arctan u/a + C

20
Q

∫du/(u*(u2 - a2)1/2)

A

1/a * arcsec |u|/a + C