Multivariable calculus, class #30: vector line integrals

Mathematician spotlight: Yajnaseni Dutta

We briefly discuss the study of birational geometry, and that the circle and the line are equivalent under a birational map. We do an example of a scalar line integral. We define vector line integrals, and do some examples estimating whether given vector line integrals are positive, negative, or zero. We do an example where we can compute the dot product of the vector field with the unit tangent vector explicitly, and then we derive the general formula for integrating a vector field over a curve, and do an example using the formula.

[martinperu]

Line Integrals did not write in formal definition. But it is easy de learn. I think you know Mathematics is based in formal definitions.