Arc Length of a Curve ( Smooth Curve ) Calculus 1 BC 5 Examples

EXAMPLES at 15:39 21:03 28:22 33:35 38:21
At 43:22 you don't need u' when using du.

AP Exam Style Question Involving Arc Length

Also an added note from a viewer: Although it doesn't change the basic idea ! At 7:36 you have the sum starting with i = 1, but there is no isub0. You need either i = 2 or use xsub(i+1) - xsubi etc.

[thebassofmontecristo]

Mr. Tarrou! I did it! Got the score of my final Calculus test and aced it with a 94%! It included differentiation and integration of inverse trig functions, areas between 2 curves, volumes with disk, washer and shell methods, arc lengths and surfaces of revolution, which was quite the challenge as I only had 5 days to study. I spent most of that time here in the channel learning the theory, then off to the practice exercises. So this means I passed the class with an A! BAM!!! Thank you for being such a great teacher! Now it's time to relax and read a couple of books for fun. Calculus 2 is ahead...

[profrobbob]

Here is my #calculus lesson for calculating Arc Length of a Smooth Curve

[scottstevens]

Awesome video! My Calc BC teacher never shows us the derivations, and I was really curious to see one. This is the best one I could find on YouTube. Thanks a lot, and keep up the good work!
Also, you're handwriting is incredible!

[noorgangi]

Fantastic teacher. Very knowledgeable on the subject and the pace of the videos are just perfect!

[THE______TRUTH]

What an awesome teacher! You helped me get through first year calculus :D!!! I'll be sure to recommend you to friends who are struggling in math! :)

[NickG]

This is so well presented and easy to follow! I really don't understand how these videos don't have more views! Thank you for putting in so much time for these videos! :) 

[toshiromiamoto]

I love your enthusiasm! The AP Test for Calc BC is coming up and i'll be sure to go through all of your vids!

[georgesadler]

Professor Tarrou, thank you for an exceptional video/lecture on Arc Length of a Curve. Finding the length of a curve is simple to follow, however the algebra can be messy. and some integrals can only be integrated numerically.

[NoxuzBlog]

Even khan couldn't explain it better, thank you again for the lecture!

[philipwest]

May I point out a small mistake? - although it doesn't change the basic idea ! At 7:36 you have the sum starting with i = 1, but there is no isub0. You need either i = 2 or use xsub(i+1) - xsubi etc.

[profrobbob]

Now Closed Captioned thanks to my friend Jigyasa.  Arc length of a curve.

[UrielD]

Awesome! ...and I love how the last example can be quickly solved as well in a single step with our traditional Arc Length Formula in a circle : [ Arc Length = radius · Θ ]. In this example: [ Arc Length = 13 · π/2 ≈ 20.4204 ].
We know that the angle in question is π/2 by simply looking at the coordinates or our two points : (-5, 12) and (12, 5) - this is a rotation of 90˚. Gotta love math, and Mr.Tarrou :)

[bacawaka]

i once tried to find the arc length of a projectile motion. I used the L=int(f'(t)^2+g'(t)^2)^(.5)dt from 0to t I used x=.5gt^2+vt+d and x=vt+d. What I got was a really long equation that took up the bottom of the page. My physics professor never gave that homework back. 

[jimboperez]

you are literally helping me to survive at school and I thank you

[ibrahim]

Hi prof, I been watching you since I started doing factors but now I am here I would like to thank you for your very helpful explanations in all videos. But this is the first time I didn't understand clearly how and why you got the (4e^2y)/4e^2y.

[godfreyouma]

Fantastic work & well presented, thanks a lot.

[tcpjh]

As for the last problem I think it would be easier to use u-substitution. Set x = 13 * sin(u) and use the trigonometric identity 1= sin^2(x) + cos^2(x). Notice that dx = 13 * cos(u) du so you got to evaluate 13 * Integral of cos^(-1)(u)du which shouldn't be that hard anymore

[tcpjh]

I'm glad to have discovered your channel by accident :)

[flawns]

HA! I just took an exam on this :) and now I found this video

[OklahomaHotdog]

no dislike! faith in humanity restored!