Parametric Curves - Calculating Area
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- Опубліковано 11 вер 2024
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Parametric Curves - Calculating Area enclosed by a parametric curve. In this video, I show how to set up the integral to find the area between a parametric curve and the line y = 2.5.
For more free math videos, check out JustMathTutorin...
When plugging in the time parameters, you accidentally subbed in 1.5 for 2. 1.5 is the x value at t=2
Who needs thattutor guy when you have patrickjmt
You sir.. you.. you are my hero, fantastic explanation, that easy tip on changing bounds in terms of 't' was the game changer for me
DUUDE UR THE MOST AWESOME PERSON I HAVE EVER MET IN MA WHOLE LIFE
U SAVED MA LIFE MAN !
I HAD A FINAL FOR TOMMOROW AND I HAD NO IDEA ABOUT ANYTHING AND U MADE ME UNDERSTAND THANK GOD U EXIST MAN !!
youtube used to have a 10 minute time limit on uploads
You are a beast
Is there a video on how to determine what the limits of Integration are? I am struggling with that. :( Thanks for the video Patrik
The integration should have been from 0.5 to 2, since these are the values of T when you solve (t + 1/t) = (5/2)
I think so too
Yes, you are right
its amazing you do not have more views...you're better than alot of TA's and professors at universities
Studying before a final and this cleared up some issues, thanks patrickJMT
I think you made a small mistake with t. You said the upper limit is 3/2, but you used t=2 for the second point to get (1.5, 2.5). Correct me if I'm wrong.
i thought i had put in some annotations, but i forgot!
soooooo, they are now there! thanks for reminding me. hopefully i have not confused too many people!!
No problem
Thanks for the example. One of the best tutorials
Yep! I had class yesterday! but Patrick JMT is the best!
I have learned more on this flippin channel in the past 20 minutes than I have ALL SEMESTER.
@zndr27 sal at ka's is doing great stuff : ) i am flattered that many of you like my stuff better though! i think we are both trying to accomplish slightly different things, so it is good in that respect.
Answer is ~0.9774113, so you can check.
HEYYYY!!! Shout out to this guy for hookin' it up!
Amazing thank you! better than my calc 2 teacher ..
@tokyo200 no, but one of the books i have around is by stewart
@TheWiseGeek plenty of room for all styles : ) he got a $2,000,000 grant, so i am just happy to hear us being compared. hopefully something will come my way one day! : )
Thanks alot.. Helped so MUCH FOR LAST MINUTE REVISION...
yea, i do not have a video for that yet... maybe i will make one later!
ok
You should get pdfs of books. I have really cool math ones. One of them is very minimal and has every math from counting and up. Its neat. I wanted a book only in symbols so I could learn more intuitively
wow these helped more than my prof lol spent 2 hours trying 2 learn this
Hi Patrick, What would be the integral points???The exact question is Find the area under the curve in the first quadrant given by the parametric equations: x=3t+1 y=2t-t^2 . I thought it was 0 to 2pi but thats not parametric
ok , it is 2 instead of 3/2, thanks !!!
great! glad to help!
Yup
@deonjo haha yeah man, Khan academy is good, but his lessons are for pre-schoolers..PatrickJMT you rock!
You should add a video for surface areas of parametric revolutions
So, are you in Calc I this year (in UMTYMP) too? The textbook doesn't explain this kind of stuff that well.... but it's all good because of this video. :D
I think the Intergration is supposed to be from 1/2 - 2 (instead of 3/2).
ur the best
"send me an email" This video was made back in 2008 so I'll forgive him for that lol
ooohhhh you tuesday person. I have class today - on a Thursday.
I did not understand the factorization from 2:58 . How -2-(1/2) = 2.5 ??
excuse Patrick but are you using the textbook "Essential Calculus: Early Transcendentals" by James Stewart?
i has a question, does x = T or theta for any type of parametric equation? if so, why?
is there any chance u can make a video on Parameterized curves or parametric equations in three dimensions
@nanohark thanks for the update..i thought we have to integrate from x=-1.5 to x=1.5 for some weird reason..
Ok so what happens when you need to find the volume with parametric equations. More specifically the volume of an elipse. I was thinking taking the area of an elipse and multiplying it by the integral e.g integral sign PiAB*G(t)*F'(t). I havent been able to find much on ellipses and it gets confusing. Finding the area is easy just volume is hard.
amazing channel
Can you do a video on finding area under a curve .i couldn't find find it on your playlist
Now im extremely confused? My teacher did this in class, the same problem, and got a completely different answer. Now im not sure what to do. Also in a separate case if you were to find the area between some line and the y axis would you make the integral x(t)*y'(t)?
S|x(t)|y'dt ie: integrate the x value multiplied by the y-prime value with respect to t
What if if the graph is sideways, with the furthest line to the right being x=0? which would be the "top function"?
Hi, iv had a lot of trouble with this problem. find the area of
x=acos(theta) y= bsin(theta) 0 =< theta=
is it correct to put dt next to f'(t)? i am sure though that f'(t) itself constitutes a "dt" already. so you are already multiplying the height of the vertical strip to the square of its thickness?
I have Stewart's Calculus: Concepts and Contexts 4th Edition (Custom version for UMTYMP)!
i really wish you were our calc teacher instead ! :(
thanks, is there a video for surface area of parametric curve
Can someone tell me what is happening in the problem I am doing?
Using the parametric equations for an ellipse, x=(a)cos(t) y=(b)sin(t) with t from 0 to 2pi where a and b are constants and t is my parameter. Find the area enclosed. I am getting a negative area. The answer I get is -abpi when it should be abpi. Help please?
You are the best.
i use that book too, that is a very common book.
@patrickJMT wouldnt it be at time t = 2?
I read on your bio that you currently teach at ACC. Which campus do you teach at?
Khan doesn't have videos on this calc 2 material :(
Since when is multivariable calculus and art history preschool?
For starters, the videos are organized into playlists
I think you are cooler than the Khan Academy
Khan Academy is more intuition/theory, less calculation. I think they both complement each other quite well.
Wouldn't at t=0 the curve be undefined?
i know that im late but why t is from 1/2 to 3/2?isnt ir from 1/2 to 2?
please tell us how to find assymptotes in parametric curves
@tokyo200
Oh, okay then.
The reason why I ask is because most of the problems you are using is exactly like my homework problems LOL.
By the way, you are a great teacher.
I know that sounds very cliche, but I just wanted to point that out to you.
Hope life's okay. :)
very good
@earthyearth at 5:04
This is all very nice but HOW DO I FIND THE AREA WITH RESPECT TO THE Y AXIS!?!!?
7th edition... exactly the same as 1st edition.
lol agreed (Y) for sure the khanacademy guy gives me a creepy feel
AAAAaaaaaaaahhhhhhhhhhhhhhhhhhhh dx = (1 + t^-2)dt
Ok, I'm over it.
Why does my teacher not give me these formulas
Hi is way neater.. that's for sure!
your voice sounds deeper in this video lol
Wouldn't t=3/2 be 2? I think u got confused when you were writing it lol
No way! Me too!
Would you start a new recording if you forgot to say it? What if people stopped watching because you forgot and they thought you were rude? Lol
hahahah
he corrected himself in one of those pop-up -.-
Was just thinking that myself lol
GET rIgHt HANDED
not jk lol
final answer:
-9/4 - 2ln(2) - 2ln(1/2)
anyone agree?
what is the answer, I got 3/4. Anyone else?