State the Fundamental Theorem of Calculus for Line Integrals $\int _ { C } \operatorname { grad } f \cdot d \vec { r } = f ( Q ) - f ( P )$

Multiple Choice

State the Fundamental Theorem of Calculus for Line Integrals.

A) Suppose C is a piece-wise smooth oriented path with starting point P and end point Q.Then $\int _ { C } \operatorname { grad } f \cdot d \vec { r } = f ( Q ) - f ( P )$
B) Suppose C is a oriented path with starting point P and end point Q.Then $\int _ { C } \operatorname { grad } f \cdot d \vec { r } = f ( Q ) - f ( P )$
C) Suppose C is a piece-wise smooth oriented path with starting point P and end point Q.If f is a function whose gradient is continuous on the path C, then $\int _ { C } \operatorname { grad } f \cdot d \vec { r } = f ( Q ) - f ( P )$
D) Suppose C is a piece-wise smooth oriented path with starting point P and end point Q.If f is a function whose gradient is continuous on the path C, then $\int _ { C } \operatorname { grad } f \cdot d \vec { r } = f ( P ) - f ( Q ) .$