15_4_22B - y 2 3 -2 -1 1 Fig. 4-22 c) See the figure. has...

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Unformatted text preview: y 2 3 -2 -1 1 Fig. 4-22 c) See the figure. has four parts. On 1 , y = 0, dy = 0, x goes from 1 to 2. On 2 , x = 2 cos t, y = 2 sin t, t goes from 0 to . On 3 , y = 0, dy = 0, x goes from -2 to -1. On 4 , x = cos t, y = sin t, t goes from to 0. 1 2 x dy - y d x x 2 + y2 1 4 cos2 t + 4 sin2 t = dt 0+ 2 2 2 0 4 cos t + 4 sin t 0 cos2 t + sin2 t +0+ dt 2 2 cos t + sin t 1 = ( - ) = 0. 2 4 1 2 x ...
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