# Tutor.com The Definite Integral Session

##### Mar. 6, 2012

Session Transcript - Math - Calculus, 3/4/2012 11:54PM - Tutor.comSession Date: 3/4/2012 11:54PM
Length: 20.2 minute(s)
Subject: Math - Calculus

System Message
[00:00:00] *** Please note: All sessions are recorded for quality control. ***

Guest (Customer)
[00:00:00] Find the length of the curve x=(y^3/30)+(5/2y) on 3<y<5

Eric K (Tutor)
[00:00:10] Welcome to Tutor.com ! I'm Eric.

Guest (Customer)
[00:00:20] hi

Eric K (Tutor)
[00:00:22] So you're learning about arc lengths!

Guest (Customer)
[00:00:28] yeah i am
[00:00:35] it's kinda tricky lol

Eric K (Tutor)

Guest (Customer)
[00:01:28] well...
[00:01:41] hmm start w/ the fomula?

Eric K (Tutor)
[00:01:48] Yep!

Guest (Customer)
[00:02:33]

Eric K (Tutor)
[00:02:41] =)
[00:03:18] Let's see so the limits are y = 3 to 5...
[00:03:54] We need the derivative for f . Could you calculate that for me please?
[00:04:08] *f

Guest (Customer)
[00:04:29] sure
[00:04:51] is it..

Eric K (Tutor)
[00:05:38] Almost! I got 1/10 instead of 1/15 though

Guest (Customer)
[00:05:47] oh could you explain why?
[00:05:47] sorry

Eric K (Tutor)
[00:05:52] Sure!

Guest (Customer)
[00:05:53] i'm getting rusty again.
[00:06:29] ohhh thanks!

Eric K (Tutor)
[00:07:50] Now we have to foil that out! That's horrible looking!

Guest (Customer)
[00:07:59] lol yeah

Eric K (Tutor)
[00:08:51] Looks good!

Guest (Customer)
[00:08:53] yay
[00:08:54] cools
[00:09:52] oops thanks
[00:09:53] lol

Eric K (Tutor)
[00:09:59]

Guest (Customer)
[00:10:01] now i'm stuck
[00:10:04]

Eric K (Tutor)
[00:10:36] This is tough to see but there's a way to factor the inside. Let me know if you see it
[00:11:01] I'm going to write a formula on the side that might help

Guest (Customer)
[00:11:07] oh ok

Eric K (Tutor)
[00:12:14] So if you can get it so factor into (something)^2. The square the square root would cancel out

Guest (Customer)
[00:12:25] ok

Eric K (Tutor)
[00:12:36] *and the

Guest (Customer)
[00:12:39] oh!!
[00:12:43] i got it!

Eric K (Tutor)
[00:13:33] Awesome! That will work

Guest (Customer)
[00:13:37] thanks a lot
[00:13:39]

Eric K (Tutor)
[00:15:10] That's the hard part! Now it's just the integration. Do you want to work through it together or do you want finish it on your own?

Guest (Customer)
[00:15:24] well i do want to check with you
[00:15:32] work together

Eric K (Tutor)
[00:15:33] Okay.

Guest (Customer)
[00:15:34]
[00:15:50] so.. would it be this?

Eric K (Tutor)
[00:16:22] Yep!

Guest (Customer)
[00:16:24] yes!
[00:16:25] thanks!

Eric K (Tutor)
[00:16:32] No problem!

Guest (Customer)
[00:19:40] yes!!
[00:19:44] thank you so much!!

Eric K (Tutor)
[00:19:52] You're welcome!
[00:19:58] Good night!

Guest (Customer)
[00:19:57]
[00:20:00] good night!
[00:20:04] thanks again!!
[00:20:07]