I think your notation needs to be cleared up. Here's some LaTeX code for you. You can double-click to see how I did it:
With that information, can you please re-post your problem?
Evaluate the integral S xy^4 ds, where C is the right half of the circle x^2 +y^2=4
S= integral symbol
C= the lower bound of the integral
I am at a loss with this question, anyone know the answer?
You need parametric equations. The simplest equations for a circle or radius R, center at (0, 0), are and where , the parameter, is the angle the positive x-axis makes with the radius to the point. Taking from to will go from (0, -R) to (0, R), the semi-circle with x> 0.
I suspect all that is in your text book very near this problem!