Evaluating a Line Integral Along a Straight Line Segment

[moasfco11]

thanks alot these videos always help me very much!!!!!

[tadm123]

whats the formua when they give you a different time. 0<t<5 for example?

[Jayc2592]

You sir should become a professor!

[devland14]

Cal. 3 test Thursday...then finals next week. Videos are gonna get be through it . 

[patrickJMT]

@devland14 the final stretch! : ) good luck

[fwo4real]

@patrickJMT I am in the EXACT same situation. I knew all the material until we got to this stuff Greens, Stokes, Divergence, Line Intergrals............this is really helping. THANKS

[jjkim017]

@devland14 David Manuel at A&M??

[bharathsf]

Can I use Green's theorem for this or is green theorem used only when the 'curve' is closed? Can anyone please answer this, I am confused a lot...

Thanks in advance

[CastedAfar]

@bharathsf Only applies when curve is closed. 

[bharathsf]

@CastedAfar thank you :)

[integraleric]

Thanks for this :-)

[stephy414]

*officially in love* love the accent too. totally understand green's theorem and such now, thanks!!

[checkedpotato]

These are incredibly helpful! Somehow everything you say makes sense!

Vote pJMT for God!

[oatfarls]

Line integrals always confused me. I'll say that first.

1.) Could you (or someone) possibly explain how the parametrization equation (1-t)r_0 + (t)r_1 works?

2.) How did you know your bounds of integration were from 0 to 1?

3.) Could this problem also be solved using the Fundamental Theorem for Line Integrals you talked about in a separate video?

Any answers are appreciated. I really want to understand this topic. :)

[patchesohola]

if its negative dont you have to say that it travels backwards along the line or something

[himentourage]

At 4:11. Why is it integrated over 0-1? I never caught that. :P

[allensugar]

@himentourage Take a look at the equation parametizing t at 2:00 ....so t is always integrated over 0 to 1 :P

[patchesohola]

@allensugar yea

[k88n]

Thank you very very much. You just saved my ass. You got a real talent and ability to get your message across. A very hard skill to have you should feel honored.

Again thank you!

[anamtaj]

i passed three semesters of my calculus only because of u!!!

[Shazzbot112]

THANKS SO MUCH!!!!!

[patrickJMT]

@ChaosDynamics not quite, but thanks!

[allensugar]

@patrickJMT aww you're too modest, you really are god.

[runawaymotor]

Thank you so much! I could not figure out the simple parametrization method.

[thomashamiltom]

YES!!!!! My teacher felt like just leaving out the equation on how to paramatize! Now it is clear..... Thank you!

[naetdogg007]

You never let me down Patrick!

[MazurekM4]

Thank you!

[leila59huang]

thank you so much a million times just got stuck in my problem sheet , until i saw this

[jclwhite]

Thanks, excellent as always!

[soulreaper41]

Thank you so much, I was going crazy over this until I saw your video. I could not understand my book's notion but yours was more understandable. Now's its easy!

[VWinUgo]

can we just consider this as a vector function and evaluate the integral with (integral f dot dr). In this form can we always consider dx, dy dz as i j k respectively? Is there any exceptions or flaws to this logic? The only difference that I see with this formula and the formula that you have used in the video is skipping the process of writing out the vector F dot r ' (t)

[alven291]

Could somebody illustrate the significance of line integrals? Why do we need to evaluate line integrals?

[darcyjoann08]

Thanks a million!! I kept getting the limits wrong. I'm still not sure why they only go from 0 to 1 but whatev, I got my problem right. So, thanks again :]

[VWinUgo]

@darcyjoann08 it's because we are interested in the line segment created by the two points. If we plug the bounds of 0 to 1 into the parametrized vector equation it yields the two points we used to make the line segment.

[niftyusername]

Thanks! Much clearer than any textbook! :)

[muizhmhs]

I've been searching this kind of example for line integrals. Thanks very much Patrick!!! =D

[pollardrho06]

Nice...

[khalid97899789]

i can not smile without you

You're really a myth.

A smile makes us look younger while prayers make us feel stronger and friends? They make us enjoy life forever ..........THANX PATRICK