Evaluate the integral Cx dy y dxx2 + y2 , whereC is the circlex2 + y2 = a2 traversed

Chapter 15, Problem 54

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Evaluate the integral $\int_{C} \frac{x d y-y d x}{x^{2}+y^{2}}$ , where $C$ is the circle

$x^{2}+y^{2}=a^{2}$ traversed counterclockwise.

Equation Transcription:

$\int\limits_{C}^{\ }\frac{x\ dy-y\ dx}{{x}^{2}+{y}^{2}}$

$C$

${x}^{2}+{y}^{2}={a}^{2}$

Text Transcription:

integral_C x dy - y dx /x^2 + y^2

x^2 + y^2 = a^2

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