anonymous
  • anonymous
Suppose C is any curve from( 0,0,0) to (1,1,1) and F(x,y,z)=(5z+5y)i+(2z+5x)j+(2y+5x)k . Compute the line integral ∫Fdr .
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
dr = dxi + dyj + dzk
anonymous
  • anonymous
could explain more clearly? @him1618
anonymous
  • anonymous
you know dr, and you know F..can u tell me the expression for F.dr?

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experimentX
  • experimentX
it might depend on your path ... what path do you choose to take?
anonymous
  • anonymous
It doesn't depend on the path as the curl=0
experimentX
  • experimentX
then you can choose any path. easiest one ... choose a straight line parametric form of line is r(t) = (0,0,0) + t(1,1,1) ... change all x,y,z in F into this parametric form. i.e. = t,t,t ... integrate it wrt dt ... from 0 to 1
anonymous
  • anonymous
@experimentX but it is said for any curve, thats why i dont know how to solve this problem, not a straight line or sth else, just for any?
experimentX
  • experimentX
as henpen said earlier, take a curl, if the curl is zero, then the line integral does not depend on path. choose any path.

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