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tdabboud

x=2t y=3t^2 0<= t <= 1 Evaluate the integral

  • 2 years ago
  • 2 years ago

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  1. tdabboud
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    \[\int\limits_{}^{}(x-y)ds\]

    • 2 years ago
  2. myininaya
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    surface area?

    • 2 years ago
  3. myininaya
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    ok

    • 2 years ago
  4. myininaya
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    what is ds?

    • 2 years ago
  5. tdabboud
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    ds is the line integral which equals sqrt( (dx/dt)^2 + (dy/dt)^2 dt)

    • 2 years ago
  6. myininaya
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    ok cool give me just a sec i will scan in something

    • 2 years ago
  7. tdabboud
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    okay

    • 2 years ago
  8. myininaya
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    is that dt outside the sqrt?

    • 2 years ago
  9. tdabboud
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    no its underneath atleast thats what it seems like in my book go here:http://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsPtI.aspx The equation is the 2nd blue one

    • 2 years ago
  10. myininaya
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    its outside

    • 2 years ago
  11. tdabboud
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    okay it just looks like its inside

    • 2 years ago
  12. myininaya
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    i had to use integration by parts. it is long problem and maybe i'm going about the long way and there is a shorter way, but I got you started

    • 2 years ago
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  13. myininaya
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    don't do it htis way there has to be a shorter way

    • 2 years ago
  14. myininaya
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    lol

    • 2 years ago
  15. tdabboud
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    haha I really appreciate the help, that is exactly where I got to in the problem

    • 2 years ago
  16. tdabboud
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    I got to \[2\int\limits_{0}^{1}(2t-3t^2)(\sqrt{9t^2+1}\] and after that is where I am getting stuck trying to evaluate the integral

    • 2 years ago
  17. myininaya
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    we could try integration by parts but that is messy I have the answer do you want it?

    • 2 years ago
  18. myininaya
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    -(1/6)*t*(1+9*t^2)^(3/2)+(1/12)*t*sqrt(1+9*t^2)+(1/36)*arcsinh(3*t)+(4/27)*(1+9*t^2)^(3/2)

    • 2 years ago
  19. tdabboud
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    yeah that is pretty messy it seems like it should be a lot easier than what we have you know. I got the same thing off of wolframalpha

    • 2 years ago
  20. myininaya
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    even the answer with the limits is messy

    • 2 years ago
  21. tdabboud
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    yeah I know right and this is just a take home quiz idk. Its just that square root that is making messy like that

    • 2 years ago
  22. myininaya
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    wait...

    • 2 years ago
  23. myininaya
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    omg i got it one sec let me write it neatly

    • 2 years ago
  24. tdabboud
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    haha okay I sure hope so...my brain is fried lol

    • 2 years ago
  25. myininaya
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    ok im posting this but i'm pretty sure i made a mistake somewhere but the problem is easy than we thought

    • 2 years ago
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  26. tdabboud
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    that is certainly a lot easier than how we were doing it and a much cleaner answer

    • 2 years ago
  27. myininaya
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    i messed up on my addition lol

    • 2 years ago
  28. tdabboud
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    haha around which part?

    • 2 years ago
  29. myininaya
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    finding the antiderivative of u^(3/2)

    • 2 years ago
  30. tdabboud
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    okay I see..one dumb addition mistake lol

    • 2 years ago
  31. tdabboud
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    I dont think I can thank you enough tho, This most certainly helped me out tremendously, I def needed some help on this problem. Thank you again

    • 2 years ago
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