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(Solved):   Please make sure to do both parts (a) and (b). Try to show all steps. Thanks! 8. Let \( \m ...



8. Let \( \mathrm{C} \) be the boundary curve of the triangle with vertices \( \mathrm{P}(-1,0), Q(0,1) \), and \( \mathrm{R}

 

Please make sure to do both parts (a) and (b). Try to show all steps. Thanks!

8. Let \( \mathrm{C} \) be the boundary curve of the triangle with vertices \( \mathrm{P}(-1,0), Q(0,1) \), and \( \mathrm{R}(1,1) \). Let \( \mathrm{C} \) be oriented counter-clockwise. Draw triangle \( \mathrm{PQR} \) and find \( \int_{C} y^{2} d x-x^{2} d y \) (a) directly, as a line integral AND (b) as a double integral, by using Green's Theorem.


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Given triangle with vertices P(-1,0),Q(0,1) and R(1,1) ?cy2dx?x2dy equation of lines: PR : y-0= 1
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