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Math Help - Path integral

  1. #1
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    Path integral

    If C is the curve given by r(t)=(1+5sin{t}){i}+(1+2sin^2{t}){j}+(1+5sin^3{t})  {k} and 0\leq t\leq \frac{\pi}{2} and F is the radial vector field F(x,y,z)=x{i}+y{j}+z{k}, How do you compute the work done by F on a particle moving along C
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  2. #2
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    Quote Originally Posted by qwesl View Post
    If C is the curve given by r(t)=(1+5sin{t}){i}+(1+2sin^2{t}){j}+(1+5sin^3{t})  {k} and 0\leq t\leq \frac{\pi}{2} and F is the radial vector field F(x,y,z)=x{i}+y{j}+z{k}, How do you compute the work done by F on a particle moving along C
    r(t)=(1+5sin{t}){i}+(1+2sin^2{t}){j}+(1+5sin^3{t})  {k} so
    dr= \frac{dr}{dt}dt= (5 sin(t)i+ 4sin(t)cos(t)j+ 15sin^2(t)k)dt

    Integrate the dot product of F and that from t= 0 to \pi/2.
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