Calculus 3 Line Integrals 44 Of 44 What Is The Fundamental Theor Visit ilectureonline for more math and science lectures!in this video i will explain some of the 4 different types of line integral.next video in. Visit ilectureonline for more math and science lectures!in this video i will explain visually the meaning of line integrals: work done by a force.
Calculus 3 Line Integrals 3 Of 44 What Is A Line Integr In this chapter we will introduce a new kind of integral : line integrals. with line integrals we will be integrating functions of two or more variables where the independent variables now are defined by curves rather than regions as with double and triple integrals. we will also investigate conservative vector fields and discuss green’s. Let’s take a look at an example of a line integral. example 1 evaluate ∫ c xy4ds ∫ c x y 4 d s where c c is the right half of the circle, x2 y2 = 16 x 2 y 2 = 16 traced out in a counter clockwise direction. show solution. next we need to talk about line integrals over piecewise smooth curves. Visit ilectureonline for more math and science lectures!in this video i will explain the line integral is not the length of a line (curve).next vi. Section 16.5 : fundamental theorem for line integrals. in calculus i we had the fundamental theorem of calculus that told us how to evaluate definite integrals. this told us, ∫ b a f ′(x)dx = f (b) −f (a) ∫ a b f ′ (x) d x = f (b) − f (a) it turns out that there is a version of this for line integrals over certain kinds of vector.
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