Primitives Flashcards

1
Q

Primitive de a

A

ax

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2
Q

Primitive de x^a

A

x^a+1 / a+1

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3
Q

Primitive de cos x

A

sin x

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4
Q

Primitive de sin x

A
  • cos x
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5
Q

Primitive de a^x, avec a>0

A

a^x / ln a

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6
Q

Primitive de ln x

A

xln x - x

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7
Q

Primitive de 1/x

A

ln(x) (à la valeur absolue)

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8
Q

Primitive de 1 / 1+x^2

A

arctan x

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9
Q

Primitive de 1 / cos^2 x

A

tan x

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10
Q

Primitive de 1 + tan^2 x

A

tan x

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11
Q

Primitive de 1 / sin^2 x

A
  • 1 / tan x
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12
Q

Primitive de au’+bv’

A

au+bv

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13
Q

Primitive de u’v+uv’

A

uv

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14
Q

Primitive de u’u^a

A

u^a+1 / a+1

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15
Q

Primitive de u’cos u

A

sin u

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16
Q

Primitive de u’sin u

A
  • cos u
17
Q

Primitive de u’ a^u

A

a^u / ln a

18
Q

Primitive de u’ln u

A

u ln u - u

19
Q

Primitive de u’/u

A

ln(u) (à la valeur absolue)

20
Q

Primitive de u’/1+u^2

A

arctan (u)

21
Q

Primitive de u’ / cos^2 u

A

tan (u)

22
Q

Primitive de u’(1+tan^2u)

A

tan (u)

23
Q

Primitive de u’ / sin^2 u

A

-1 / tan (u)