Use Green's Theorem to evaluate the line integral along the given positively oriented curve. ( 27 + Bevx) dx + ( 5x + 8 cos(y ? )) dy C is the boundary of the region enclosed by the parabolas y = x2 and x = y2 Step 1 We note that C is a positively-oriented, smooth, simple closed curve. Green's Theorem tells us that in this situation, if D is the region bounded by C, then fo Pax + Q dy = // (2 a P P dA. ay Step 2 Therefore, by Green's Theorem we have the following. & ( 2y + 8ev x ) dx + ( 5x + 8 cos ( y 2 ) ) dy = / (5x + 8 cos(y ? ) ) - (2y + 8evx) ) dA 10 (5-18 x ) dA dA Submit |Skip (you cannot come back) Need Help? Read It Submit