Calculus 3: The Fundamental Theorem for Line Integrals (Video #29) | Math with Professor V

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Statement and proof of the Fundamental Theorem for Line Integrals--very exciting! Discussion of what is implied by independence of path, and finding work done by a conservative vector field using the potential function. Discussion of closed, open, and simply connected regions in space. Criteria for testing if a vector field is conservative, and how to find the potential function if it is. #fundamentaltheoremforlineintegrals #lineintegrals #calculus3 #mathtvwithprofessorv #multivariablecalculus #vectorcalculus #calculus #calculusvideos #youtubemath #mathprofessor #mathtutor #mathhelp #calculushelp #calculusvideos #calculus3videos #multivariablecalculusvideos #independenceofpath #potentialfunction #conservativevectorfields #vectorfields #gradientvectors #gradient

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Thank you for making Calculus playlists, I have a request, because I guess you are using James Stewart textbook, would you please follow each lesson in the calculus playlists with the best applications and exercises from the section exercise set in the textbook. Thank you so much for your efforts.

ll
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OH MY GOODNESS, THANK YOU!! This helped me so much!!

Math_Queen
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melika khanzadeh said thank you very much for your help.

jas_mine
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when creating the potential function what do you do if a term is positive from the fx and negative from the fy integrals?

mathyphytutor