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Math Help - Integral of Line

  1. #1
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    Integral of Line

    What is integral of line ?
    How do I calculate?

    Example: C is segment of straight of (0,0) until (0,1). How do I calculate:

    \int_C senxy dy

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  2. #2
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    Quote Originally Posted by Apprentice123 View Post
    What is integral of line ?






    How do I calculate?



    Example: C is segment of straight of (0,0) until (0,1). How do I calculate:



     \int_C senxy dy










    What is "sen" ?
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  3. #3
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    Sory in english sin
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  4. #4
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    Just substitute x=0 (y from 0 to 1) into the integral and integrate along the y axis.
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  5. #5
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    The answer this integral is 0 ?

    And the intregral line

    \int_C 3x^2yzds
    C: x = t, y = t^2, z = \frac{2}{3}z^3
    0 \leq t \leq 1

    The answer is \frac{197}{180} ???
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  6. #6
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    Quote Originally Posted by Apprentice123 View Post
    The answer this integral is 0 ?

    And the intregral line

    \int_C 3x^2yzds
    C: x = t, y = t^2, z = \frac{2}{3}z^3
    0 \leq t \leq 1

    The answer is \frac{197}{180} ???
    z = \frac{2}{3}t^3 ?
    I think the answer is \frac{13}{20}
    Last edited by curvature; April 25th 2009 at 06:57 AM.
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  7. #7
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    The first integral \int_C sinxy dy the answer is 0 ?

    And the other integral where you resolved ?
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  8. #8
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    [quote=Apprentice123;304717]The first integral \int_C sinxy dy the answer is 0 ? quote]

    Yes. Because sinxy=0 on the line x=0.
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  9. #9
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    In
    \int_C 3x^2yzds
    C: x = t, y = t^2, z = \frac{2}{3}t^3
    0 \leq t \leq 1

    how you found \frac{13}{20} ?
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