๐ƒ๐š๐ฆ๐ข๐š๐ง ๐‹๐ƒ

Cรกlculo integral

Cรกlculo diferencial

Valor absoluto

Ciencias exactas

Ingenierรญa Civil

Espacio vectorial

Ecuaciรณn diferencial

Clases en lรญnea

Tutoriales Cรกlculo

๐‚๐š๐ซ๐ญ๐š๐ฌ, ๐œ๐š๐ง๐œ๐ข๐จ๐ง๐ž๐ฌ ๐ฒโ€ฆ๐ฎ๐ง ๐ฉ๐จ๐ช๐ฎ๐ข๐ญ๐จ ๐ฆรก๐ฌ

๐„๐ฅ Ú๐๐ˆ๐‚๐Ž ๐ฒ ๐•๐„๐‘๐ƒ๐€๐ƒ๐„๐‘๐Ž ๐œ๐ฎ๐ซ๐ฌ๐จ ๐ƒ๐„๐’๐ƒ๐„ ๐‚๐„๐‘๐Ž

๐„๐ฅ Ú๐๐ˆ๐‚๐Ž ๐ฒ ๐•๐„๐‘๐ƒ๐€๐ƒ๐„๐‘๐Ž ๐œ๐ฎ๐ซ๐ฌ๐จ ๐ƒ๐„๐’๐ƒ๐„ ๐‚๐„๐‘๐Ž
@Víctor Rojas ๐๐Ž ๐ญ๐ข๐ž๐ง๐ž ๐๐ˆ ๐ˆ๐ƒ๐„๐€ ๐ž๐ฌ ๐ฎ๐ง ๐…๐€๐‘๐’๐€๐๐“๐„

@Víctor Rojas ๐๐Ž ๐ญ๐ข๐ž๐ง๐ž ๐๐ˆ ๐ˆ๐ƒ๐„๐€ ๐ž๐ฌ ๐ฎ๐ง ๐…๐€๐‘๐’๐€๐๐“๐„
๐๐ฎ๐ž ๐๐Ž ๐ญ๐ž ๐„๐๐†๐€Ñ๐„๐ ๐’๐ข ๐ž๐ฌ

๐๐ฎ๐ž ๐๐Ž ๐ญ๐ž ๐„๐๐†๐€Ñ๐„๐ ๐’๐ข ๐ž๐ฌ "๐ข๐ง๐ ๐ž" ๐จ ๐ฌ๐š๐›๐ž ๐จ ๐๐Ž ๐’๐€๐๐„
๐€๐ฌí

๐€๐ฌí "๐‘๐„๐’๐”๐„๐‹๐•๐„" ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ๐ž๐ฌ ๐ฎ๐ง ๐…๐€๐‘๐’๐€๐๐“๐„
๐“๐‘๐ˆ๐’๐“๐„ ๐‘๐„๐€๐‹๐ˆ๐ƒ๐€๐ƒ ๐๐ž ๐ฅ๐š ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘Í๐€

๐“๐‘๐ˆ๐’๐“๐„ ๐‘๐„๐€๐‹๐ˆ๐ƒ๐€๐ƒ ๐๐ž ๐ฅ๐š ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘Í๐€
๐€๐ฉ๐ฎ๐ž๐ฌ๐ญ๐จ ๐“๐Ž๐ƒ๐Ž ๐š ๐ช๐ฎ๐ž ๐๐Ž ๐’๐€๐๐„๐’ ๐ˆ๐๐“๐„๐†๐‘๐€๐‘

๐€๐ฉ๐ฎ๐ž๐ฌ๐ญ๐จ ๐“๐Ž๐ƒ๐Ž ๐š ๐ช๐ฎ๐ž ๐๐Ž ๐’๐€๐๐„๐’ ๐ˆ๐๐“๐„๐†๐‘๐€๐‘
๐”๐ง ๐๐‘๐ˆ๐๐ƒ๐ˆ๐’ ๐ฉ๐จ๐ซ ๐ž๐ฌ๐จ๐ฌ ๐ˆ๐๐†๐„๐’ ๐๐ž ๐•๐„๐‘๐ƒ๐€๐ƒ

๐”๐ง ๐๐‘๐ˆ๐๐ƒ๐ˆ๐’ ๐ฉ๐จ๐ซ ๐ž๐ฌ๐จ๐ฌ ๐ˆ๐๐†๐„๐’ ๐๐ž ๐•๐„๐‘๐ƒ๐€๐ƒ
๐”๐ญ๐ข๐ฅ๐ข๐ณ๐š๐ซ ๐‚๐ก๐š๐ญ๐†๐๐“ ๐๐Ž ๐„๐’ ๐‘๐„๐’๐Ž๐‹๐•๐„๐‘ ๐Ÿ๐š๐ซ๐ฌ๐š๐ง๐ญ๐ž

๐”๐ญ๐ข๐ฅ๐ข๐ณ๐š๐ซ ๐‚๐ก๐š๐ญ๐†๐๐“ ๐๐Ž ๐„๐’ ๐‘๐„๐’๐Ž๐‹๐•๐„๐‘ ๐Ÿ๐š๐ซ๐ฌ๐š๐ง๐ญ๐ž
¿๐Œ๐„๐‰๐Ž๐‘ ๐ช๐ฎ๐ž ๐๐„๐ƒ๐‘๐Ž? ๐จ ๐ช๐ฎé @elhibazvv3505

¿๐Œ๐„๐‰๐Ž๐‘ ๐ช๐ฎ๐ž ๐๐„๐ƒ๐‘๐Ž? ๐จ ๐ช๐ฎé @elhibazvv3505
๐Œ๐€๐‹๐Ž๐’ ๐๐‘๐Ž๐…๐„๐’๐Ž๐‘๐„๐’ = ๐É๐’๐ˆ๐Œ๐Ž๐’ ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž๐’

๐Œ๐€๐‹๐Ž๐’ ๐๐‘๐Ž๐…๐„๐’๐Ž๐‘๐„๐’ = ๐É๐’๐ˆ๐Œ๐Ž๐’ ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž๐’

"๐‘๐„๐’๐Ž๐‹๐•๐„๐‘" ๐œ๐จ๐ง ๐‚๐ก๐š๐ญ๐†๐๐“ = ๐‚๐‘Á๐๐„๐Ž ๐•๐€๐‚Í๐Ž
¿๐ˆ๐ง๐ ๐ž๐ง๐ข๐ž๐ซ๐จ? ¡๐๐Ž! ๐‚๐‡๐€๐‘๐‹๐€๐“Á๐

¿๐ˆ๐ง๐ ๐ž๐ง๐ข๐ž๐ซ๐จ? ¡๐๐Ž! ๐‚๐‡๐€๐‘๐‹๐€๐“Á๐
๐๐Ž ๐ฌ๐ž๐š๐ฌ ๐ฎ๐ง ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž ๐๐ž ๐‚๐‡๐ˆ๐’๐“๐„

๐๐Ž ๐ฌ๐ž๐š๐ฌ ๐ฎ๐ง ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž ๐๐ž ๐‚๐‡๐ˆ๐’๐“๐„
๐ƒ๐„๐’๐“๐‘๐Ž๐™๐€๐๐ƒ๐Ž MITOS ๐๐ž ๐ฅ๐š ๐”๐๐ˆ๐•๐„๐‘๐’๐ˆ๐ƒ๐€๐ƒ

๐ƒ๐„๐’๐“๐‘๐Ž๐™๐€๐๐ƒ๐Ž MITOS ๐๐ž ๐ฅ๐š ๐”๐๐ˆ๐•๐„๐‘๐’๐ˆ๐ƒ๐€๐ƒ
¡๐„๐ฑ๐œ๐ฅ๐ฎ๐ฌ๐ข๐ฏ๐จ! ๐ฉ๐š๐ซ๐š ๐๐‘๐ˆ๐๐‚๐ˆ๐๐ˆ๐€๐๐“๐„๐’

¡๐„๐ฑ๐œ๐ฅ๐ฎ๐ฌ๐ข๐ฏ๐จ! ๐ฉ๐š๐ซ๐š ๐๐‘๐ˆ๐๐‚๐ˆ๐๐ˆ๐€๐๐“๐„๐’
¡๐€๐“๐„๐‘๐‘๐€๐ƒ๐Ž๐‘๐€ ๐‚๐Ž๐๐…๐ˆ๐‘๐Œ๐€๐‚๐ˆÓ๐! ๐ฌ๐จ๐ฅ๐จ ๐ž๐ฌ á๐ฅ๐ ๐ž๐›๐ซ๐š

¡๐€๐“๐„๐‘๐‘๐€๐ƒ๐Ž๐‘๐€ ๐‚๐Ž๐๐…๐ˆ๐‘๐Œ๐€๐‚๐ˆÓ๐! ๐ฌ๐จ๐ฅ๐จ ๐ž๐ฌ á๐ฅ๐ ๐ž๐›๐ซ๐š
๐„๐ฌ๐œ๐ซ๐ข๐›๐ข๐ซ ๐๐’๐„๐”๐ƒ๐Ž ๐๐Ž ๐๐ž๐ฆ๐ฎ๐ž๐ฌ๐ญ๐ซ๐š ๐ช๐ฎ๐ž ๐ญ๐ข๐ž๐ง๐ž๐ฌ ๐Ÿง 

๐„๐ฌ๐œ๐ซ๐ข๐›๐ข๐ซ ๐๐’๐„๐”๐ƒ๐Ž ๐๐Ž ๐๐ž๐ฆ๐ฎ๐ž๐ฌ๐ญ๐ซ๐š ๐ช๐ฎ๐ž ๐ญ๐ข๐ž๐ง๐ž๐ฌ ๐Ÿง 
¡๐ƒ๐ž ๐“๐„๐‘๐‘๐Ž๐‘! ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž๐’ ๐ช๐ฎ๐ž ๐๐Ž ๐’๐€๐๐„๐ ๐†๐„๐Ž๐Œ๐„๐“๐‘Í๐€

¡๐ƒ๐ž ๐“๐„๐‘๐‘๐Ž๐‘! ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž๐’ ๐ช๐ฎ๐ž ๐๐Ž ๐’๐€๐๐„๐ ๐†๐„๐Ž๐Œ๐„๐“๐‘Í๐€
๐๐Ž ๐€๐๐“๐Ž ๐๐€๐‘๐€

๐๐Ž ๐€๐๐“๐Ž ๐๐€๐‘๐€ "๐†๐„๐๐ˆ๐Ž๐’"
๐“๐ž ๐Œ๐ˆ๐๐“๐ˆ๐„๐‘๐Ž๐. ๐๐Ž ๐ž๐ฌ

๐“๐ž ๐Œ๐ˆ๐๐“๐ˆ๐„๐‘๐Ž๐. ๐๐Ž ๐ž๐ฌ "๐‚Á๐‹๐‚๐”๐‹๐Ž ๐ˆ๐๐“๐„๐†๐‘๐€๐‹"
๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž๐’ ๐๐ž ๐•๐„๐‘๐ƒ๐€๐ƒ ๐‘๐„๐’๐”๐„๐‹๐•๐„๐ ๐ฌ๐ข๐ง ๐‹′๐‡O๐๐ˆ๐“๐€๐‹

๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž๐’ ๐๐ž ๐•๐„๐‘๐ƒ๐€๐ƒ ๐‘๐„๐’๐”๐„๐‹๐•๐„๐ ๐ฌ๐ข๐ง ๐‹′๐‡O๐๐ˆ๐“๐€๐‹

"๐‘๐„๐’๐Ž๐‹๐•๐„๐‘" ๐Ÿ๐ŸŽ๐ŸŽ ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ๐ž๐ฌ ๐๐ข๐š๐ซ๐ข๐š๐ฌ ๐๐Ž ๐’๐ˆ๐‘๐•๐„
๐’๐ข ๐๐Ž ๐’๐€๐๐„๐’ Á๐‹๐†๐„๐๐‘๐€ ๐๐Ž ๐๐”๐„๐ƒ๐„๐’ ๐’๐„๐‘ ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž

๐’๐ข ๐๐Ž ๐’๐€๐๐„๐’ Á๐‹๐†๐„๐๐‘๐€ ๐๐Ž ๐๐”๐„๐ƒ๐„๐’ ๐’๐„๐‘ ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž
๐๐š๐ซ๐š ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž๐’ ๐๐ž ๐•๐„๐‘๐ƒ๐€๐ƒ

๐๐š๐ซ๐š ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž๐’ ๐๐ž ๐•๐„๐‘๐ƒ๐€๐ƒ
๐‘๐„๐’๐Ž๐‹๐•๐„๐‘ ๐Ÿ๐ŸŽ๐ŸŽ ๐ˆ๐๐“๐„๐†๐‘๐€๐‹๐„๐’ = ๐๐„๐‘๐ƒ๐„๐‘ ๐„๐‹ ๐“๐ˆ๐„๐Œ๐๐Ž

๐‘๐„๐’๐Ž๐‹๐•๐„๐‘ ๐Ÿ๐ŸŽ๐ŸŽ ๐ˆ๐๐“๐„๐†๐‘๐€๐‹๐„๐’ = ๐๐„๐‘๐ƒ๐„๐‘ ๐„๐‹ ๐“๐ˆ๐„๐Œ๐๐Ž
๐ƒ๐„๐’๐“๐‘๐Ž๐™๐€๐๐ƒ๐Ž ๐Œ๐ˆ๐“๐Ž๐’ ๐๐ž๐ฅ

๐ƒ๐„๐’๐“๐‘๐Ž๐™๐€๐๐ƒ๐Ž ๐Œ๐ˆ๐“๐Ž๐’ ๐๐ž๐ฅ "๐‚Á๐‹๐‚๐”๐‹๐Ž ๐ˆ๐๐“๐„๐†๐‘๐€๐‹"
๐’๐ข ๐๐Ž ๐’๐€๐๐„๐’ Á๐‹๐†๐„๐๐‘๐€ ¡๐€๐ƒ๐ˆÓ๐’! ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘Í๐€

๐’๐ข ๐๐Ž ๐’๐€๐๐„๐’ Á๐‹๐†๐„๐๐‘๐€ ¡๐€๐ƒ๐ˆÓ๐’! ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘Í๐€
๐˜ ๐ฉ๐จ๐ซ ๐ž๐ฌ๐จ ๐๐€๐‚๐„๐ ๐ฅ๐จ๐ฌ ๐É๐’๐ˆ๐Œ๐Ž๐’ ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž๐’

๐˜ ๐ฉ๐จ๐ซ ๐ž๐ฌ๐จ ๐๐€๐‚๐„๐ ๐ฅ๐จ๐ฌ ๐É๐’๐ˆ๐Œ๐Ž๐’ ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž๐’
๐‹๐€ ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘Í๐€ ๐๐Ž ๐„๐’ ๐”๐ ๐‚๐‡๐ˆ๐’๐“๐„ ๐€๐๐‘๐„๐๐ƒ๐„ Á๐‹๐†๐„๐๐‘๐€

๐‹๐€ ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘Í๐€ ๐๐Ž ๐„๐’ ๐”๐ ๐‚๐‡๐ˆ๐’๐“๐„ ๐€๐๐‘๐„๐๐ƒ๐„ Á๐‹๐†๐„๐๐‘๐€
๐„๐‘๐„๐’ ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž ¿๐๐”๐„๐ƒ๐„๐’ ๐‘๐„๐’๐Ž๐‹๐•๐„๐‘?

๐„๐‘๐„๐’ ๐ˆ๐๐†๐„๐๐ˆ๐„๐‘๐Ž ¿๐๐”๐„๐ƒ๐„๐’ ๐‘๐„๐’๐Ž๐‹๐•๐„๐‘?