line integral of a vector function (KristaKingMath)

► My Vectors course: www.kristaking...
In this video we'll learn how to find the line integral of a vector function, when the vector function is given in three variables (three dimensions).
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If you could use some extra help with your math class, then check out Krista’s website // www.kristakingm...
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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingm...
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[@michaelt9266]

Everything explained so clearly and such a chill voice, thank you so much for the vid!

[@kristakingmath]

Thanks! Glad you liked it. :)

[@Kamnuma]

You are the King Krista!

[@wmjessemiller]

these videos are great. wish had her at my school

[@muwongeevanspaul9166]

U are the best. I have clearly understood, the difference in the application of the formulas and the way to parametrize the curve. So good and explanation. So good and really good. Thanks madam King. Am so blessed by your work.

[@brettmccausland880]

Thank you, I always find it very useful that your videos use problems from my text

[@lucasmwangulu2683]

These videos are so helpful. May God bless you

[@barshapal3229]

Couldn't find it anywhere... Thank you so much for this. Love you.

[@kristakingmath]

You're welcome, Barsha! :)

[@risay79]

Thank you sooo much. Loved the simple and precise explanation.

[@kristakingmath]

You're welcome, risay, so glad you liked it! :D

[@user-zg4sn5jo6v]

Could you make a video about the intuition of taking a line integral?

[@kidfrase]

Extremely insightful. Thank you so much for these videos!

[@kristakingmath]

I'm glad they're helping! :)

[@boshooda1941]

Note: with all due respect, great video, but line integrals of vector fields (F dot dr) and path integrals (F(x(t)y(t))magnitude(rprime)dt ) are two different things. Your last statement is referring to a path integral, being an approximate area under a curve. This is incorrect in this context. In this case of a line integrals is the sum of work done to a particle as a it travels through a vector field.

[@norhanahmed4135]

Ur videos r really helpful thank you ... Can u upload about change of variables in multiple integrals

[@mariahslittlelamb8049]

I thought you had to do the Dot product with this

[@wahidhamidy6886]

thank u SoOOOooO much Dear Krista King!

[@kristakingmath]

You're so welcome! :D

[@sergiolucas38]

Nice video:)

[@TechWiseforSeniors]

Did you go to Vidcon this year??

[@m7madronald0]

thank u krista !! i have a question difficult to be solved (for me).... solve the prob dy/dx+(2/x)y=y^2 :(((

[@randomthing4156]

wait i will solve it for ya

[@symnick]

It's about equation of Bernoulli. The answser is y(x)=1/(cx^2+x)

[@cosmickitty9533]

Is this the same thing as line integral of a vector field?

[@kristakingmath]

Yes, F is a vector field. :)

[@siank7322]

which software app u use as chalk and board?

[@kristakingmath]

I explain here: www.kristakingmath.com/blog/how-i-create-my-videos

[@siank7322]

ok thanks, it's a good looking sketch board..its also because of this, ur tutorials are better than other online tuts... and u give a good explanation too.😊

[@kofiel7152]

thank YOUUUUUUU !

[@kristakingmath]

Glad it could help! :D

[@sarthakverma3804]

Thanks

[@kristakingmath]

You're welcome, Sarthak! :)

[@Ttooss2811]

i am just asking; how can we simply take coeff of i,j&k and equate them to x,y&z.

[@abdirazaqali8921]

May Almighty God bless you

[@kristakingmath]

Thank you so much, Abdirazaq! :)

[@barshapal3229]

Aweeesssoome

[@yingyihuang7316]

Plz do linear algebra😭😭😭

[@kristakingmath]

Hey, Harper! I have a full Linear Algebra course on my website, and on Udemy, it's just not on KZbin. :)

[@Rabixter]

so many d's in that integral!

[@karimkhan1312]

excellent -- pls teach me differential geometery

[@siamhasan288]

what