integrale Flashcards

1
Q

x^n

A

x^(n+1)
________
n+1

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2
Q

1
____
x^2

A

1
- —
x

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3
Q

1

x

A

ln |x|

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4
Q

1
————
x^2 - a^2

A

1 | x-a |
— ln |——|
2a | x+a|

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5
Q

1
————
x^2 + a^2

A

1 x
— arctg —
a a

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6
Q

1
——
rad(x)

A

2 rad(x)

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7
Q

e^x

A

e^x

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8
Q

a^x

A

a^x
——
ln a

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9
Q

1
—————
rad (x^2 + a)

A

ln (x + rad(x^2 + a))

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10
Q

1
—————
rad(x^2 - a)

A

ln |x + rad(x^2 - a)|

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11
Q

sin x

A
  • cos x
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12
Q

cos x

A

sin x

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13
Q

tg x

A
  • ln |cos x|
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14
Q

ctg x

A

ln |sin x|

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15
Q

1
——————
rad(a^2 - x^2)

A

x
arcsin —
a

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