• Integral and Differentiation — The fundamental theorem Part 1

  • Jul 9 2023
  • Length: 13 mins
  • Podcast

Integral and Differentiation — The fundamental theorem Part 1

Listen for free

View show details

  • Summary

  • In this episode we are studying a first connection of differentiation and integration. More precisely, we will show that if a Riemann integrable function has an anti-derivative then the computation of the integral comes down to the evaluation of the anti-derivative. The proof provided uses a re-interpretation of the mean value theorem. A reorganisation of the terms involved in the statement of the mean value theorem leads to a relation of function evaluation and the integral of a step function with some height given by the derivative at some point of the function. A telescoping sum and a limit argument concludes the proof. 
    Show More Show Less
Show More Show Less

What listeners say about Integral and Differentiation — The fundamental theorem Part 1

Average Customer Ratings

Reviews - Please select the tabs below to change the source of reviews.

Audible.com.au reviews

Amazon Reviews
No Reviews are Available
In the spirit of reconciliation, Audible acknowledges the Traditional Custodians of country throughout Australia and their connections to land, sea and community. We pay our respect to their elders past and present and extend that respect to all Aboriginal and Torres Strait Islander peoples today.