Question

can you type it out and not hand write will give a bad feedback if not type out

1. Identify and describe the Fundamental Line Integral Theorem and how it can be applied.

Utilize information from the textbook and lecture materials as well as additional reputable sources. Be sure to cite any information taken from other sources other than your own original thought.

Answer 1

• Fundamental Theorem of line integral also known as gradient theorem states that a line integral through a gradient field can be calculated by calculating the original scalar potential at the end points of the curve.
• Suppose C is the smooth curve given by r(t) , .
• f is the scalar potential of vector field F i.e, , F is continuous on C
• 
• Application: if their exist f such that then F is a conservative force . Line integral of F can be calculated by above formula.