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Integral Básica: Juego de Insisos

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Integral Básica: Juego de Insisos

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Quiz de cálculo integral básico

Created by

Jose angel Salazar
Jose angel Salazar
Mexico

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Integral Básica: Juego de Insisos
 

Integral Básica: Juego de InsisosOnline version

Quiz de cálculo integral básico

by Jose angel Salazar
1

¿Cuál es la notación de la integral indefinida de f(x)?

2

La relación entre derivada e integral según el Teorema Fundamental dice que si F' = f, entonces ∫ f(x) dx = ?

3

¿Qué representa la integral definida ∫_a^b f(x) dx?

4

Si f(x) es constante c, ¿cuál es su integral indefinida?

5

Propiedad de linealidad de la integral: ¿qué es verdadero?

6

Regla básica para potencias: ¿cuál es ∫ x^n dx (n ≠ -1)?

7

Si F es antiderivada de f, ¿qué expresa el Teorema Fundamental Partes 2?

8

¿Cuál es una antiderivada de e^x?

9

¿Cuál es la integral indefinida de 1/x?

10

¿En qué año llegó el hombre a la Luna por primera vez?

Explicación

La integral indefinida se escribe ∫ f(x) dx, añadiendo una constante C al final.

El Teorema establece que la integral de f es F más una constante, donde F es una antiderivada de f.

La integral definida mide el área (con signo) entre la curva y el eje x desde a hasta b.

La integral de una constante c es c por x, más la constante de integración.

La integral es aditiva y, además, pasa el factor constante fuera: ∫ kf = k∫f.

La regla general es ∫ x^n dx = x^{n+1}/(n+1) + C para n ≠ -1.

La integral definida es la diferencia de la antiderivada evaluada en los extremos.

La derivada de e^x es e^x, y su antiderivada es también e^x más C.

∫(1/x) dx = ln|x| + C, para x ≠ 0.

La misión Apolo 11 alunizó en 1969.

 
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