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Integrales Definidas: Reto de Cálculo

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Integrales Definidas: Reto de Cálculo

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Quiz sobre integrales definidas

Created by

Esthefany Rosas
Esthefany Rosas
Mexico

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Integrales Definidas: Reto de Cálculo
 

Integrales Definidas: Reto de CálculoOnline version

Quiz sobre integrales definidas

by Esthefany Rosas
1

¿Qué representa una integral definida entre a y b en geometría?

2

¿Cuál es la notación de la integral definida de f(x) de a a b?

3

Si f(x) es continua en [a,b], ¿qué indica el teorema fundamental del cálculo?

4

Propiedad de linealidad: ∫_a^b (u+v) dx = ?

5

¿Qué ocurre si la función f(x) es negativa en [a,b]?

6

¿Qué nos dice ∫_a^b f(x) dx = 0 si f(x) ≥ 0 en [a,b]?

7

¿Qué técnica corresponde a cambiar variables para facilitar la integral definida?

8

Al evaluar ∫_a^b f(x) dx, ¿qué pasa si se intercambian los límites?

9

¿Qué representa en valor absoluto ∫_a^b f(x) dx si f ≥ 0?

10

Propiedad de suma de intervalos: ∫_a^c f + ∫_c^b f dx = ?

Explicación

La integral definida aproxima áreas; otras opciones corresponden a otros conceptos.

La sintaxis correcta lleva límites y dx.

Relaciona derivación y antiderivación con cambios de límites.

La integral es lineal respecto a la función.

El signo de la integral refleja el área con signo.

Si f≥0 y la integral es 0, f debe ser 0 en casi todo el intervalo.

La sustitución cambia límites si es directa.

Cambio de límites invierte el signo de la integral.

Con f≥0, la integral da área positiva.

La integral en [a,b] se descompone en [a,c] y [c,b].

 
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