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math_proof

  • 2 years ago

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

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  1. mahmit2012
    • 2 years ago
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    |dw:1354580384267:dw|

  2. mahmit2012
    • 2 years ago
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    green theorem i used.

  3. math_proof
    • 2 years ago
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    how did you get area of being 2?

  4. math_proof
    • 2 years ago
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    and how would you do in in a circulation form like \[\int\limits_{a}^{b}fx'(t)+gy'(t)dt\]

  5. mahmit2012
    • 2 years ago
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    |dw:1354581086523:dw|

  6. math_proof
    • 2 years ago
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    oooo i missed out the minus

  7. math_proof
    • 2 years ago
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    how would you do in in a circulation form?

  8. mahmit2012
    • 2 years ago
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    I eliminated minus from -4. take a look again.

  9. mahmit2012
    • 2 years ago
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    the question said y=sinx and y=0, so it is circulation curve.

  10. math_proof
    • 2 years ago
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    but it saus to evaluate both integrals in green's theorem and check for consistency

  11. mahmit2012
    • 2 years ago
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    region bounded with two curves.

  12. mahmit2012
    • 2 years ago
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    ok i'll show you the direction method also.

  13. math_proof
    • 2 years ago
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    thanks

  14. mahmit2012
    • 2 years ago
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    |dw:1354581665119:dw|

  15. mahmit2012
    • 2 years ago
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    |dw:1354581945508:dw|

  16. mahmit2012
    • 2 years ago
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    |dw:1354582110486:dw|

  17. math_proof
    • 2 years ago
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    actually answer states that both are -8

  18. math_proof
    • 2 years ago
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    shouldn't you parametrize it to t?

  19. math_proof
    • 2 years ago
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    ?

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