Let

Fequalsleft angle x$,$y right angle

and C be the triangle with vertices

$(0,$plus or minus$3)$

and

$(1,0)$

oriented counterclockwise. Evaluate

Contour integral Subscript Upper C Superscript Baseline Bold Upper F times d Bold r

by parameterizing C$.$

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Part $1$

Use a parametric description of C and set up the integral.

Contour integral Subscript Upper C Superscript Baseline Bold Upper F times d Bold requalsIntegral from $0$ to $1$ left parenthesis nothing right parenthesis dt