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yuki

  • 5 years ago

I need to integrate a parametric eqn. can someone help out ?

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  1. Yuki
    • 5 years ago
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    \[x_t = 3+\sin(t)\] \[y_t = 3- 4\cos(t)\] t from 0 to 2 pi

  2. amistre64
    • 5 years ago
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    its an ellipse starting at the point 3,3 right?

  3. amistre64
    • 5 years ago
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    parametrics are derived seperatley; can you just integrate then seperately as well?

  4. anonymous
    • 5 years ago
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    Don't ask amistre, just jump in, integrate

  5. amistre64
    • 5 years ago
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    x = 3t - cos(t) y = 3t - 4sint(t) then lol

  6. anonymous
    • 5 years ago
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    + C, you knew this was coming

  7. amistre64
    • 5 years ago
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    ack!!! lol

  8. amistre64
    • 5 years ago
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    nonono... it on an interval lol

  9. Yuki
    • 5 years ago
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    oh amistre lol

  10. amistre64
    • 5 years ago
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    the other option would be to make a rectanuglar coord equation and integrate

  11. amistre64
    • 5 years ago
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    http://www.wolframalpha.com/input/?i=int%28+%283-cos%28t%29%29+%2B+%283-sin%28t%29%29%29+dt+from+0+to+2pi perhaps?

  12. amistre64
    • 5 years ago
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    x = 3t - cos(t); at 0 and 2pi 6pi - 1 - (-1) y = 3t - 4sint(t) ; 0 , 2pi 6pi - 4(0) - 0 6pi -1+1 + 6pi = 12pi... it matches :)

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