Error Bound Formulas for midpoint and trapezoid rules, sect7.7#19b

Error bound formula for midpoint rule,
Error bound formula for the trapezoid rule,
approximate integrals,
how to find the K,

blackpenredpen

[violabunnie]

I'm taking calc 2 for the second time, and of course, it's online which makes it even harder. My professor barely explains anything (like how to calculate the K value...) You have been an absolute saviour thus far!! I love how you always explain each step and explain very clearly. Thank you so much! I think I can pass the class this time:)

[BITStudioCode]

Bro u r the only tutor that teaches us step by step, my math teacher is like always skipping steps cuz apparently all my other classmates are geniuses and I'm just dumb. Thanks again man!!!

[markgross]

I'm taking Calc 2 and am preparing for my second test. Our text (probably the same one you use) has the answers you showed according to the book. I kept coming up with your answer (the more accurate way). I spent 5 hours trying to figure out what I was doing wrong. Then I found your video and now know I had the more correct answer all day! I have watched many of your videos and you do a great job. Thank you for making the videos. The videos have a timeless value. Even 5 years after making this one, it still works for students.

[maclancastermusic]

God I feel like youre the only calc tutor who explains every single step. I really appreciate you.

[marygrant]

YOU ARE THE ABSOLUTE I got the same answer you got and couldn't for the life of me figure out how the back of the book got their answer. you make this SO clear!!!! thank you so SO SO

[Alex-jfkl]

You are awesome brother! I read the chapter and I asked my teacher for help but he did a terrible job explaining !! You did it in 7 minutes .. you save me, thank you.

[reqicide]

Thank you, your videos have helped me so much throughout Calc 2. You always have very clear and concise explanations. Wish you were my professor haha

[TranquilSeaOfMath]

Very nice. A helpful video. I like that you mention finding the maximal of the second derivative, it is so fast though, it is easy to miss.

[chovie]

Here I was doing this exact question thinking I was crazy for getting this answer again and again. Thank you for showing both ways to find K! What were they smoking when they wrote this chapter? It's easy to calculate without a graphing calculator, yes, but sooo wrong.

[TyronTention]

The book's way almost feels lazy, but the intuition behind it is pretty interesting since you don't have to use a calculator. This video was very helpful.

[robertosaucedo]

Thank you!! You are amazing I was doing my homework and keep getting it wrong because I was using the none book way but thanks to you I was able to get my homework done❤

[sepidehabolfazli]

what if we can't use a graphing calculator

[kennethgee]

seems like a recursion issue to me. Went from estimating cos x^2 to estimating some craziness just to get a k value for an estimation. One would need to estimate the maximal again and again, ad infinitum.

[spik]

where does the 12n^2 or the 24n^2 come from. My profs notes say that for midpoint on a single interval is (k/4x1-x0))*((x1-x0)/n)^2 and for composite (k/4x1-x0))*((x1-x0)/n)

[stgr]

Hi, Thanks! This was great. What does 'n' represent? Is it number of steps?

[erniez]

Is there a way to find k w/o graphing calc.?

[ruizhu]

... what should we do to get the max? if we are not allow to use calculator during test and requires to find the K..

[DanT-iuoc]

im starting to love your videos. godDAMN you are GOOD

[Theassociate]

your calculator is crazy do u charge it
😅

[hung]

What if the question asked to find min number of subintervals of int of (x)dx, x from 1 to 2 for error from true value to be less than 10^-4? Using either Simpson or trapezoid rule.