Question: Modified Problem (Harder, Triangle-Based):Let Rbe the triangular region bounded by the x-axis, the y-axis, and the line x+y=Let Cbe the positively oriented (counterclockwise) boundary ofR.
Modified Problem (Harder, Triangle-Based):Let Rbe the triangular region bounded by the x-axis, the y-axis, and the line x+y=Let Cbe the positively oriented (counterclockwise) boundary ofR. Evaluate the lineintegraloC(y2dx+x3dy)using Green's Theorem.
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