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Reto de integrales indefinidas

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Reto de integrales indefinidas

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About this activity

Descubre la idea clave de la antiderivada

Created by

Mayra Paola Pacheco Delgado
Mayra Paola Pacheco Delgado
Mexico

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Reto de integrales indefinidas
 

Reto de integrales indefinidasOnline version

Descubre la idea clave de la antiderivada

by Mayra Paola Pacheco Delgado
1

Soy la parte final de toda antiderivada: nunca se me ve en la gráfica, pero siempre digo 'más C'. ¿Qué soy?

Pistas

Se escribe como + C y representa una familia de soluciones equivalentes.

No depende de la variable x.

Aparece al final de toda antiderivación.

2

Sin límites, busco la función cuyo cambio diario le da a la otra función, y si la derivaras, volverías al inicio. ¿Qué soy?

Pistas

Aparece cuando buscas una función cuyo derivative sea la función dada.

Al obtenerla, añades una constante de integración.

Es la operación inversa de la derivada.

3

¿Cuál es el resultado de ∫(4x^3 )dx

4

Si la derivada me quita información, yo se la regreso. Busco una función original y siempre llevo una constante conmigo.

Pistas

Por ejemplo, para f(x)=2x, la respuesta es x^2 + C.

Al final aparece una constante de integración: C.

Mi operación es el inverso de derivar.

5

soy la integral de una constante k

Pistas

siempre me acompaña una x

siempre me suman la constante de integración

mi valor constante nunca cambia

6

¿Qué regla se utiliza para integrar x^n cuando n=−1?

Pistas

Se usa cuando estoy elevanda a una potencia

7

¿Cuál es el principal objetivo de una integral indefinida?

Pistas

soy la antiderivada

resulto a partir de su derivada

 
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