formule d'intégration Flashcards

1
Q

0 dx

A

c

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2
Q

x exposant n dx

A

(x exposant (n +1)/ n +1) + c

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3
Q

1 dx

A

x + c

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4
Q

1/x dx

A

ln(valeur absolue de x) + c

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5
Q

e exposant x dx

A

e exposant x + c

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6
Q

a exposant x dx

A

(a exposant x / ln (a)) + c

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7
Q

sin (x) dx

A

-cos (x) dx

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8
Q

cos (x) dx

A

sin (x) + c

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9
Q

csc (x) * cot (x) dx

A

-csc (x) + c

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10
Q

sec (x) * tan (x) dx

A

sec (x) + c

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11
Q

sec (x) exposant 2 dx

A

tan (x) + c

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12
Q

csc (x) exposant 2 dx

A

-cot (x) + c

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13
Q

tan (x) dx

A

(-ln valeur absolue de cos (x)) +c

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14
Q

cot (x) dx

A

(ln valeur absolue de sin (x)) + c

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15
Q

(1/racine 1 - x exposant 2) dx

A

arcsin (x) + c

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16
Q

(-1/ racine 1 - x exposant 2) dx

A

arccos (x) + c

17
Q

(1/ x exposant 2 + 1) dx

A

arctan (x) + c

18
Q

(-1/ x exposant 2 + 1)

A

arccot (x) + c

19
Q

(1/ valeur absolue de x * racine de x exposant 2 - 1) dx

A

arcsec (x) + c

20
Q

(-1/ valeur absolue de x * racine de x exposant 2 -1) dx

A

arccsc (x) + c