Integrale nedefinite Flashcards

1
Q

1 dx

A

x

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2
Q

x^n dx

A

x^n+1 / n+1

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3
Q

e^x

A

e^x

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4
Q

a^x dx

A

a^x/lna

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5
Q

1/x dx

A

lnx

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6
Q

1/x^2- a^2 dx

A

1/2a*ln(x-a/x+a)

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7
Q

1/ x^2 + a^2 dx

A

1/a*arctg x/a

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8
Q

1/ radical x^2 - a^2 dx

A

ln(x+ radical x^2 - a^2 )

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9
Q

1/ radical x^2 + a^2 dx

A

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

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10
Q

1/ radical a^2 - x^2 dx

A

arcsinx/a

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11
Q

sin x dx

A

-cos x

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12
Q

cos x

A

sin x

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13
Q

tg x dx

A

-ln (cos x)

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14
Q

ctg x dx

A

ln (sin x)

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15
Q

1/ sin^2 x dx

A

-ctg x

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16
Q

1/cos^2 x dx

17
Q

n radical x^m dx

18
Q

x^-n dx (și invers)

A

1/x^n (și invers)

19
Q

radical din x dx