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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?
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Qual es le antiderivative de ∫sec^2x dx?
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Qual es le antiderivative de ∫csc^2x dx?
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Qual es le antiderivative de ∫secxtanx dx?
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Qual es le antiderivative de ∫cscxcotx dx?
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Qual es le antiderivative de ∫e^x dx?
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Qual es le antiderivative de ∫1/x dx?
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Qual es le antiderivative de ∫b^x dx?
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Qual es le antiderivative de ∫1/(1+x^2) dx?
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Qual es le antiderivative de ∫1/√(1-x^2) dx?
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Qual es le antiderivative de ∫1/(x√(x^2-1)) dx?
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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.
