juanjuann
23.07.2019 •
Mathematics
Evaluate the integral ∮cf⋅dr for f=(3x2y)i+(2x2−3xy2)j on the curve c consisting of the x-axis from x=0 to x=2, the arc of the circle x2+y2=4 up to the line y=x, and the line y=xdown to the origin.
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Ответ:
In other words, , and .
The curve is closed, so we can apply Green's theorem:
Convert to polar coordinates to write this as
Ответ:
Step-by-step explanation:
The solution is the point where the lines intersect: (-2,-2)