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Mathematics, 01.12.2021 02:50 lovelyheart5337

Explain why (1/2) Integrate[x[t] y'[t] - y[t] x'[t], {t, a, b}] measures the area of R provided that {x[t], y[t]} sweeps out the boundary of R exactly one time in the counterclockwise fashion as t advances from a to b .

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Explain why (1/2) Integrate[x[t] y'[t] - y[t] x'[t], {t, a, b}] measures the area of R provided that...

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