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Math Help - calc 3- line integrals over a path

  1. #1
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    Question calc 3- line integrals over a path

    could anyone please check my work, i got a crazy answer.

    evaluate the line integral over the indicated path.
    the integral of (x+y+z)dL
    where C is the line segment joining the origin to the point (-8,2,1/3)

    i am new to this and really unsure of my answers..so i easily get freaked out by weird answers. i got:
    (-17*sqrt(613))/(27)

    anyone want to double check my work for me please? i'll feel more confident with all of my answers. this problem only took me a few steps so it should be quick
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  2. #2
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    Quote Originally Posted by holly123 View Post
    could anyone please check my work, i got a crazy answer.

    evaluate the line integral over the indicated path.
    the integral of (x+y+z)dL
    where C is the line segment joining the origin to the point (-8,2,1/3)

    i am new to this and really unsure of my answers..so i easily get freaked out by weird answers. i got:
    (-17*sqrt(613))/(27)

    anyone want to double check my work for me please? i'll feel more confident with all of my answers. this problem only took me a few steps so it should be quick
    Let r(t) = <-8t, 2t, t/3>. Compute the integral of sqrt(68 + 1/9)*(-8t + 2t + t/3)dt from t = 0 to t = 1.
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