Primitive ? Flashcards

1
Q

x^n

A

x ^ (n+ 1) / n+1

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2
Q

x ^ α

A

x ^ (α + 1) / α + 1

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3
Q

1/x

A

ln [ x ]

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4
Q

a ^ x

A

a ^ x / lna

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5
Q

sin x

A

cos x

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6
Q

cos x

A
  • sin x
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7
Q

tg x

A
  • ln (cos x)
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8
Q

ctg x

A

ln ( sin x )

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9
Q

dx / x^2 - a^2

A

1/2a x ln [ x-a/x+a ]

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10
Q

dx / x^2+ a ^2

A

1/a x arctg (x/a)

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11
Q

dx/ √(a^2 - x^2)

A

arcsin (x/a)

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12
Q

dx / √(x^2 + a^2)

A

ln [ x + √(x^2 + a^2 ) ]

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13
Q

dx/ √(x^2 - a^2)

A

ln [ x + √(x^2 - a^2) ]

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14
Q

1/ cos^2 x

A

tg x

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15
Q

1/ sin^2 x

A

ctg x

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