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Formulas de Antiderivadas

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Questions and Answers

Qual es le antiderivative de ∫dx?

x + C

Qual es le antiderivative de ∫x^n dx?

x^(n-1)/(n-1) + C

Qual es le antiderivative de ∫cosx dx?

sinx + C

Qual es le antiderivative de ∫sinx dx?

-cosx + C Signup and view all the answers

Qual es le antiderivative de ∫sec^2x dx?

tanx + C Signup and view all the answers

Qual es le antiderivative de ∫csc^2x dx?

-cotx + C Signup and view all the answers

Qual es le antiderivative de ∫secxtanx dx?

secx + C Signup and view all the answers

Qual es le antiderivative de ∫cscxcotx dx?

-cscx + C Signup and view all the answers

Qual es le antiderivative de ∫e^x dx?

e^x + C Signup and view all the answers

Qual es le antiderivative de ∫1/x dx?

ln|x| + C Signup and view all the answers

Qual es le antiderivative de ∫b^x dx?

b^x/lnb + C Signup and view all the answers

Qual es le antiderivative de ∫1/(1+x^2) dx?

tan^-1x + C Signup and view all the answers

Qual es le antiderivative de ∫1/√(1-x^2) dx?

sin^-1 x + C Signup and view all the answers

Qual es le antiderivative de ∫1/(x√(x^2-1)) dx?

sec^-1|x| + C Signup and view all the answers

Study Notes

Formulas de Antiderivata

∫dx resulta in x + C, ubi C es constante.
∫x^n dx resulta in x^(n+1)/(n+1) + C, pro n ≠ -1.
∫cos(x) dx resulta in sin(x) + C.
∫sin(x) dx resulta in -cos(x) + C.

Functiões Trigonometricas

∫sec^2(x) dx resulta in tan(x) + C.
∫csc^2(x) dx resulta in -cot(x) + C.
∫sec(x)tan(x) dx resulta in sec(x) + C.
∫csc(x)cot(x) dx resulta in -csc(x) + C.

Functiões Exponential e Logarithmic

∫e^x dx resulta in e^x + C.
∫1/x dx resulta in ln|x| + C.
∫b^x dx resulta in b^x/ln(b) + C, pro b > 0, b ≠ 1.

Integração de Funciones Racional

∫1/(1+x^2) dx resulta in tan^(-1)(x) + C.
∫1/√(1-x^2) dx resulta in sin^(-1)(x) + C.
∫1/(x√(x^2-1)) dx resulta in sec^(-1)|x| + C.

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Description

Explora las formulas de antiderivadas a traves de estas tarjetas. Cada tarjeta presenta una integral y su respectiva solución, ayudando a reforzar el conocimiento sobre el cálculo. Un recurso útil para estudiantes de matemáticas que buscan dominar el concepto de antiderivadas.