Basic Integration (pg. 360) Flashcards

1
Q

∫ du

A

u + C

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2
Q

∫ uⁿ du

powers rule

A

( uⁿ⁺¹ ) ⁄ ( n+1 ) + C

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3
Q

∫ du ⁄ u

A

ln |u| + C

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4
Q

∫ eᵘ du

A

eᵘ + C

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5
Q

∫ aᵘ du

A

( 1 ⁄ ln a ) aᵘ + C

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6
Q

∫ sin u du

A

-cos u + C

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7
Q

∫ cos u du

A

sin u + C

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8
Q

∫ tan u du

A

-ln |cos u| + C

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9
Q

∫ cot u du

A

ln |sin u| + C

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10
Q

∫ sec u du

A

ln |sec u + tan u| + C

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11
Q

∫ csc u du

A

-ln |csc u + cot u| + C

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12
Q

∫ sec² u du

A

tan u + C

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13
Q

∫ csc² u du

A

-cot u + C

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14
Q

∫ sec u tan u du

A

sec u + C

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15
Q

∫ csc u cot u du

A

-csc u + C

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16
Q

∫ du ⁄ √( a² - u² )

A

arcsin( u ⁄ a ) + C

17
Q

∫ du ⁄ a² + u²

A

( 1 ⁄ a ) arctan( u ⁄ a ) + C

18
Q

∫ du ⁄ u√( u² - a² )

A

( 1 ⁄ a ) arcsec( |u| ⁄ a ) + C