Tenta Flashcards

1
Q

int x^p dx =

A

x^p+1 / p+1

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2
Q

int f prim (x) / f(x) dx =

A

ln( abs(f(x) )

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3
Q

int cos(x) =

A

sin(x)

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4
Q

int 1+tan^2(x) =

A

tan(x)

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5
Q

int 1/cos^2(x) =

A

tan(x)

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6
Q

int sin(x) =

A

-cos(x)

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7
Q

int 1/sqrt(1-x^2) =

A

arcsin(x)

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8
Q

int 1/(1+x^2) =

A

arctan(x)

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9
Q

int 1/sqrt(x) =

A

2*sqrt(x)

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10
Q

int e^x =

A

e^x

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11
Q

int a^x =

A

a^x / ln(a)

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12
Q

int 1/x =

A

ln ( abs (x) )

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13
Q

int f(ax +b) =

A

1/a * int ax + b

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14
Q

int f(x)*g(x) dx =

A

int f(x) * g(x) - int(int f(x)) * g prim (x)

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15
Q

int 1/(x^2+c^2) =

A

1/c * arctan(x/c)

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16
Q

int (b,a) f(x) =

A

int f(b) - int f(a)

17
Q

Rotationskropp x-axeln volym

A

pi * int (b,a) [f(x)]^2

18
Q

int ln(x)

A

x*ln(x)-x

19
Q

int 1/x^2 =

A

-1/x

20
Q

Rotationskropp y-axeln volym

A

2pi * int (b,a) x*[f(x)]