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evaluate integrals F=<2y,2x> by the region bounded by y=sinx and y=0 for 0<x<pi



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mahmit2012
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dw:1354580384267:dw

mahmit2012
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green theorem i used.

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how did you get area of being 2?

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and how would you do in in a circulation form like \[\int\limits_{a}^{b}fx'(t)+gy'(t)dt\]

mahmit2012
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dw:1354581086523:dw

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oooo i missed out the minus

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how would you do in in a circulation form?

mahmit2012
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I eliminated minus from 4. take a look again.

mahmit2012
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the question said y=sinx and y=0, so it is circulation curve.

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but it saus to evaluate both integrals in green's theorem and check for consistency

mahmit2012
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region bounded with two curves.

mahmit2012
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ok i'll show you the direction method also.

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thanks

mahmit2012
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dw:1354581665119:dw

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dw:1354581945508:dw

mahmit2012
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dw:1354582110486:dw

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actually answer states that both are 8

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shouldn't you parametrize it to t?

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?