Integrales Flashcards

1
Q

antiderivada

A

conjunto de funciones f(x) cuyas derivadas son igual a F(X)
: f(x) es la antiderivada de F(x) si f’(x)=F(x)

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2
Q

.∫(f(x)+g(x))dx

A

.∫f(x)dx + .∫g(x)dx

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3
Q

.∫k*f(x)dx

A

k .∫f(x)dx

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4
Q

Funcion integrable o integral

A

area de bajo de una curva

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5
Q

Solucion de una integral definida

A

P(a)-P(b)

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6
Q

.∫dx

A

x+C

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7
Q

.∫adx

A

a .∫dx

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8
Q

.∫(u+v-w)dx

A

.∫udx + .∫vdx - .∫wdx

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9
Q

.∫x^n dx

A

x^n-1/n+1 + C

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10
Q

.∫xdx

A

x²/2 + C

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11
Q

Un dia vi una vaca vestida de uniforme

A

.∫udv = uv - .∫vdu

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12
Q

Procedimento de integracion

A

El integrando debe ser producto de dos factores (u y dv)
Se deriva u para sacar du y se integra dv para sacar v
Se sustituye en la formula de la vaca
(usa u como el valor mas complicado y dv como el mas simple)

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