Standard Integrals Flashcards

1
Q

∫1 / x

A

ln |x| + C

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2
Q

∫eᵏˣ

A

eᵏˣ / k + C

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3
Q

∫sinx

A

-cosx + C

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4
Q

∫cosx

A

sinx + C

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5
Q

∫tanx

A

-ln|cosx| + C

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6
Q

∫cotx

A

ln|sinx| + C

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7
Q

∫1 / (a²+x²)

A

¹/ₐ tan⁻¹(x/a) + C

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8
Q

∫sec²x

A

tanx + C

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9
Q

∫cosec²x

A

-cotx + C

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10
Q

∫secx

A

ln|secx + tanx| + C

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11
Q

∫cosecx

A

ln|cosecx - cotx| + C

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12
Q

∫sinhx

A

coshx + C

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13
Q

∫coshx

A

sinhx + C

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14
Q

∫tanhx

A

ln(coshx) + C

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15
Q

∫1 / √(a² - x²)

A

sin⁻¹(x/a) + C

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16
Q

∫1 / √(x² + a²)

A

sinh⁻¹(x/a) + C

17
Q

∫1 / √(x² - a²)

A

cosh⁻¹(x/a) + C