# true or false questions about line/surface integral

by zhuyilun
Tags: integral, line or surface
 P: 27 1. The problem statement, all variables and given/known data if f has a continuous partial derivatives on R^3 and c is any circle ,then the integral of gradient f dot dr over c is zero integral of f(x,y) ds over -c= - integral of f(x,y) ds over c 2. Relevant equations 3. The attempt at a solution if the condition is not mentioned, then that statement is usually wrong so i guess the second one is wrong not quite sure about the first one
 Math Emeritus Sci Advisor Thanks PF Gold P: 38,879 For (1), think about "Green's theorem". Does it apply here? For (2), the "conditions" are that the function be integrable. Which it is because the question give $\int f(x) dx$.

 Related Discussions Calculus & Beyond Homework 3 General Math 1 Introductory Physics Homework 2 Introductory Physics Homework 9 Introductory Physics Homework 8