Trapezoidal Rule Example 1

[jabrinks]

You're really smart and pretty too!

[idkbcuz]

Tnx, it really made things clear.

[TheIntegralCALC]

@idkbcuz You're welcome!! :)

[ibrr2]

i don't understood but i real enjoyed 

[ChannelLAMCO]

where did you get the number 2 from? I can't figure out why some people use 2 while others use (1/2)... is there something that determines what to multiply the middle intervals by?

[TheIntegralCALC]

@ChannelLAMCO You'll see this formula written different ways, and each way is probably acceptable. You could take away the 2s, and the 1/2 on the outside, and just multiply 1/2 by the first and last term inside the brackets, and that would be a mathematically equivalent formula to the one I wrote here. You just need to pick one, and stick with it. Hope that helps! :)

[ChannelLAMCO]

@TheIntegralCALC oh I see. Thank you so much for your help!

[MIMIFRENZY]

This is great! You're my entire Calculus II curriculum.

[puttingtips]

@MIMIFRENZY Awesome!! Let me know if you're looking for a topic and can't find it! :)

[ennraii]

Best explanation of the trapezoidal rule on youtube !! Thanks 4 posting this ^_^

Btw did anyone ever tell you that you look like Anna Kendrick because u look soooo much like her ! :O

[TheIntegralCALC]

@ennraii Thank you so much!! :)

[ennraii]

@TheIntegralCALC No thank youu, really. Life- saver :)

[RayPatron]

Thank you. You are my hero.

[TheIntegralCALC]

@RayPatron You're welcome!! :D

[TheTalkeetna1]

 can you teach me Diff E Q's, I technically do not have a teacher, he just reads from the book and sends us with oodles of HW and he is impossible to understand. Back when I learned this, I had to struggle on my own with no available teacher. You do a great job and explain it in laypeople's terms, no pun intended.

[TheIntegralCALC]

@TheTalkeetna1 I'd be happy to do everything I can to help you with DiffEQ. Check out my DiffEQ videos on YouTube to get started, or you can see everything I've done so far, arranged by topic, on my website: integralcalc(dot)com. :)

[Angelakake]

Thank you so much..you saved my life!

[TheIntegralCALC]

@Angelakake You're very welcome! :)

[davil3535351]

is there a video to find error bounds?

[Pi0666]

This video is totally helpful. Thanks!

[TheIntegralCALC]

@Pi0666 You're welcome!! :)

[eLiAsSoCcEr]

i wish this girl could be my math teacher.... now i understand it :)

[TheIntegralCALC]

@eLiAsSoCcEr I can be your teacher! Well....sort of, just on here I guess. :) Glad I was able to help.

[eLiAsSoCcEr]

@TheIntegralCALC seriously, I think I can learn more calculus from you than my college teacher...lol :) Keep doing it :) it's awesome :)

[eLiAsSoCcEr]

i wish this girl could be my math teacher....

[G0OS3]

you are so awesome..very helpful!

[TheIntegralCALC]

@G0OS3 Glad I could help! :)

[TheIntegralCALC]

@Ovvw Hahaha! That's hilarious. I always get made fun of for that. :)

[Jets303]

This is so much better when you have a cutie teaching it instead of a grumpy old man!

[jonathankaneking]

Great video. Thanks for the help with my exam :-)

[TheIntegralCALC]

@jonathankaneking Thank you, and you're welcome!! I hope that exam went/goes really really well!!! :D

[dang822]

really Thank U So u much i just now understand

May God Bless U My dear ................

[TheIntegralCALC]

@dang822 I'm so glad! And thank you so much! You are so sweet!! :)

[dang822]

thanks alot for this video

[Audrina399]

Thank you sooo soo much! I watched the other videos on the trapezoid rule but this is the only one that made me understand it. xoxo from Sweden