Learning Objectives:

__Math Tutoring on Line Integrals__

One skill needed to successfully evaluate **Line Integrals** is to be able to define a smooth parameterization of a given path in the *xy* – plane. In math tutoring, this means we want to be able to break up a given curve and define it in terms of **‘ t’** so each piece is smooth while the value of

*Fundamental Theorem of Line Integrals:*

Let ** ‘C’** be a piecewise smooth curve lying in an open region

If ** ‘F’** is continuous, conservative vector field then,

Where ** ‘f’** is a potential function of

*Line Integrals in **:*

Let be continuous in a region containing a smooth curve ** C**. if

*Line Integrals in **:*

Let be continuous in a region containing a smooth curve ** C**. if

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**Hook Questions:**

*1. **What’s the skill needed to evaluate a Line Integrals?*

*2. **State the Fundamental Theorem of Line Integrals?*

*3. **State Line Integrals in *

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Struggling with **Line Integrals? **Need math help for homework? You are not the only one. Fortunately, our expert tutors in math tutoring are online now and are ready to help.