Calculus 3: Line Integrals (18 of 44) What is a Line Integral? [(y)dx+(z)dy+(x)dz] Example 6

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In this video I will find the line integral of [(y)dx+(z)dy+(x)dz] where C is the line from (2,0,0) to (3,4,5). Ex. 6

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I do NOT know why there are 14 DISLIKES, this person's videos are one of the best explanations I've ever seen: simple, clear, and fun. I'm studying a master degree in Purdue University, and I still watch his videos.
Dear Michel, you are a truly excellent professor, and you have helped me so much.

Thank you so much.
I hope I can meet you, and I give you a hug :)

mohammedalzahrani
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I say this as one who believes math is love and life and is in an electrical engineering major, Calculus 3 is truly the devil’s lettuce.

kenshinhimura
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Really well explained! Most of my textbooks only give example from point (0, 0, 0) to (1, 1, 1) and so they just state x=y=z, thus dy=dx=dz (which is not clear for me), but your video really explains those well! Thank you mr Van Biezen!

MuhammadAbraarAbhirama
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I was studying for my multi variable calculus exam and everywhere I looked I couldn't understand. Thanks for making such videos to make us understand such topics easily

dragonheart
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Thank you for the video Prof,
for those who are confused..
you can use
r(t) = (1-t)<x1, y1, z1> +t<x2, y2, z2>
r(t) = (1-t)<2, 0, 0> + <3t, 4t, 5t>
=<2-2t, 0, 0> +<3t, 4t, 5t>

therefore,
x = 2+t, y = 4t, z = 5t

thabomoses
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I've been confused for a long time how to parameterize, and I am so happy and relieved the way you explained it. Thank you, sir!

MrCEO-jwvm
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Thank you Sir. Great evaluation and it has been easy for me to solve another problem easily like this.

shezanahmmed
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really out here saving engineer's grades, thank you

connoratkinson
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love the way u approach the probs n the perspective u give to the students, thx

LateNightRituals
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this is one of the only videos on this topic that was helpful, thank you professor!

sertralydian
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I usually search for a difficult topic and see your video and just smile 🌟 thanks so much

MURIIIXO
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Awesome work. Short, simple and clear. Keep up the good work, good sir

locngoduy
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Man im grateful for this video, parametric equations gave me a night mare

innocentmukora
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The line can be written as z = 5 x -10 and y = 4 y -8 Please do an example showing how to use these equations to find the line integral.

rah
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I ran across a change of variable to dl to terms of dx. From this I think I can get there now. Thanks!

mikefredd
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very Good solution for these type integrals

samiullahsamim-sqrp
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You are save my life in every exam week

izgederyal
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Obrigado por compartilhar conhecimento conosco professor.

Adrianocachorroloco
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we can also find the parametric equation, by writing the equation of line in a plane,
(x-x1)/x2-x1 =(y- y1)/y2-y1=(z-z1)/z2-z1 = t

codebnder
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Many Many Thanks sir... I was finding the same class and finally got it 🎉❤

naimurrahman