Numerical Integration - Composite Trapezoidal and Simpson's rules

In this video, we are going to look at the composite Trapezoidal and Simpson's rules.

[@pablodumas9446]

Awesome, especially the comparison in errors between the Simpson's and Composite Trapezoidal methods taking computational complexity into account! Thank you!!

[@Kaslor1000]

Well explained, thanks

[@يمانيشامخ-د4س]

hello are u there doctor ?
why you did *jpi/9* plz explain it because u cut it at 14:18

[@mehulnaredy2457]

Very helpful. Thank you for the videos on numerical analysis.
If you could upload on topology it would be helpful
Thank you.

[@juanvolvoturbo]

So for the first example the step-size, h=2, was found by dividing 4-0/2, but that means your n = 2. How did you assume n was 2? Was it arbitrary?

[@the-Math-guy]

This a continuation of a previous video on Newton-Cotes which introduces the Trap and Sim rules. n is always 2 for Simpsons rule for the one I am using here which is the 1/3 Sim. What happens here is we split the interval of integration and apply Sim rule to that. Hope you understand, if not try watching the previous video on Newon-Cotes.

[@juanvolvoturbo]

@@the-Math-guy thank you for the quick reply

[@AL3Ymir]

Thank you soo much

[@TrickyJebus]

6:46 can you at least simplify or at least clarify what the Summation entails? I'm no good with it and I didn't know summation was involved in this. Might as well just expound on it no?

[@the-Math-guy]

Ok I have created a new video to help with the summation please have a look at ruclips.net/video/Jqbec2k6PmM/видео.html

[@seancastillo5763]

Great video

[@the-Math-guy]

Thank you, Sean, really glad to hear you found it useful. By the way, you are my 500th subscriber, thank you!!

[@ngonidzashekimbini7177]

Thanks mate

[@ibadullahmughal6594]

Thankyou sir

[@melaniemolifie2534]

Thank yoooooooou!

[@pj-wc9op]

Please try to write all the steps. Not all are genius like you

[@mohamedmoustafa5098]

I don't understand any of these

[@AL3Ymir]

Learn simpson rule first