Solve the Problem $\mathrm { C }$ Is a Closed Path, What Is Special About the Integral

Essay

Solve the problem.
-Assuming $\mathrm { C }$ is a closed path, what is special about the integral $\int _ { C } 9 x ^ { 8 } y ^ { 7 } d x + 7 x ^ { 9 } y ^ { 6 } d y$ ? Give reasons for your answer.