Integrale Flashcards

1
Q

S x^n dx

A

X^n+1/ n+1 +C

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2
Q

S a^x dx

A

a^x/ ln a +C

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3
Q

S e^x dx

A

e^x +C

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4
Q

S 1/x dx

A

ln |x| +C

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5
Q

S 1/x+-a dx

A

ln |x+-a| +C

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6
Q

S 1/ \/x²+a² dx

A

ln (x+ \/x²+a²) +C

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7
Q

S 1/ \/x²-a² dx

A

ln |x+ \/x²-a²| +C

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8
Q

S 1/x²+a² dx

A

1/a • arctg x/a +C

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9
Q

S 1/x²-a² dx

A

1/2a • ln|x-a/x+a|+ C

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10
Q

S sin x dx

A

-cos x +C

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11
Q

S cos x dx

A

sin x

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12
Q

S 1/cos²x dx

A

tg x

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13
Q

S 1/sin²x dx

A

-ctg x

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14
Q

S tg x dx

A

-ln |cos x| +C

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15
Q

S ctg x dx

A

ln |sin x| +C

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16
Q

S 1/ \/a²-x² dx

A

arcsin x/a +C

17
Q

S x/ \/x²+-a² dx

A

\/ x²+-a² +C

18
Q

S dx

A

x +C

19
Q

S n dx

A

nx +C

20
Q

S a/x dx

A

a • ln |x| +C

21
Q

S f’(x) dx

A

f(x)

22
Q

S cos ax dx

A

sin ax/a +C

23
Q

S e^ax dx

A

e^ax/a +C

24
Q

S f’(x)/ f(x) dx

A

ln |f(x)| +C

25
Q

sin 2x

A

2 sinx cosx

26
Q

cos 2x

A

cos²x-sin²x
2cos²x-1
1-2sin²x