Green's Theorem to evaluate the integral $\int _ { C } \left( x ^ { 2 } - y ^ { 2 } \right) d x + 10 x y d y$
for the path $C : x ^ { 2 } + y ^ { 2 } = 64$.
A) $512 \pi$
B) 0
C) 8
D) $64 \pi$
E) 512

Question

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The Answer of Green's Theorem to evaluate the integral $\int _ { C } \left( x ^ { 2 } - y ^ { 2 } \right) d x + 10 x y d y$
for the path $C : x ^ { 2 } + y ^ { 2 } = 64$.
A) $512 \pi$
B) 0
C) 8
D) $64 \pi$
E) 512

Green's Theorem to Evaluate the Integral ∫C(x2−y2)dx+10xydy\int _ { C } \left( x ^ { 2 } - y ^ { 2 } \right) d x + 10 x y d y∫C​(x2−y2)dx+10xydy

Green's Theorem to Evaluate the Integral $\int _ { C } \left( x ^ { 2 } - y ^ { 2 } \right) d x + 10 x y d y$