• 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
activate_Holiday_promo_in_buybox_DT_T2
activate_samplebutton_t1

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.co.uk reviews

Amazon reviews
No Reviews are Available