CALCUL DE PRIMITIVES Flashcards

1
Q

f(x)=a

A

F(x)=ax+b

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2
Q

f(x)=x^n (n|=1)

A

F(x)=x^(n+1)/(n+1)+K

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3
Q

f(x)=1/x^2

A

F(x)=-1/x+K

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4
Q

f(x)=cos(ax+b)

A

F(x)=sin(ax+b)/a+K

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5
Q

f(x)=sin(ax+b)

A

F(x)=-cos(ax+b)/a+K

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6
Q

f(x)=1/sin^2(x)

A

F(x)=-cotg(x)+K

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7
Q

f(x)=1/cos^2(x)=1+tan^2(x)

A

F(x)=tan(x)+K

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8
Q

f(x)=1/x^0.5

A

F(x)=2x^0.5+K

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9
Q

f(x)=1/x

A

F(x)=ln(x)+K

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10
Q

f(x)=e^x

A

F(x)=e^x+K

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11
Q

f(x)=cos(x)

A

F(x)=sin(x)+K

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12
Q

f(x)=sin(x)

A

F(x)=-cos(x)+K

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13
Q

f(x)=a^x (a|=0, et a|=1)

A

F(x)=a^x/ln(a)+K

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14
Q

f(x)=ln(x)

A

F(x)=x(ln(x)-1)+K

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15
Q

u^n•u’

A

u^(n+1)/(n+1)+K

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16
Q

u’/u

A

ln(u)+K

17
Q

u’/2u^0.5

A

u^0.5+K

18
Q

u’•e^u

A

e^u+K

19
Q

f(x)=1/(1+x^2)

A

F(x)=arctg(x)+K

20
Q

f(x)=1/(1-x^2)^0.5

A

F(x)=arcsin(x)+K