In our previous two videos on line integrals (see vector calc playlist below) we focused on curves that lived in the xy-plane; that is, they were 2D curves and had a function "above" them. This gave a pleasing geometric interpretation. However, the curves can be 3D (or more) just as easily and in this video we will slightly adjust the formula to accommodate the extra dimension. While these are harder to graph, they have many nice applications such as the total mass of a variable density wire, the total volume of a variable diameter wire, and arclength of a curve. Plus, in future videos, we will see these are crucial for studying curves in a vector field.
THE VECTOR CALCULUS PLAYLIST: [ Ссылка ]
OTHER COURSE PLAYLISTS:
►CALCULUS I: [ Ссылка ]
► CALCULUS II: [ Ссылка ]
►MULTIVARIABLE CALCULUS (Calc III): [ Ссылка ]
►DIFFERENTIAL EQUATIONS (Calc IV): [ Ссылка ]
►DISCRETE MATH: [ Ссылка ]
►LINEAR ALGEBRA: [ Ссылка ]
OTHER PLAYLISTS:
► Learning Math Series
[ Ссылка ]
►Cool Math Series:
[ Ссылка ]
BECOME A MEMBER:
►Join: [ Ссылка ]
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: [ Ссылка ]
SOCIALS:
►Twitter (math based): [ Ссылка ]
►Instagram (photography based): [ Ссылка ]
