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Math Help - Integral line 2

  1. #1
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    Integral line 2

    Calculate integral line, where F(x,y,z)=ysinz and c is the circular helix parameterized by r(t)=(cost,sint,t), 0 \leq t \leq 2 \pi

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    Quote Originally Posted by Apprentice123 View Post
    Calculate integral line, where F(x,y,z)=ysinz and c is the circular helix parameterized by r(t)=(cost,sint,t), 0 \leq t \leq 2 \pi

    Just use the formula:
    \int_0^{2\pi} F(r(t))\cdot r'(t)dt
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    F(r(t)) ??
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    Quote Originally Posted by Apprentice123 View Post
    Calculate integral line, where F(x,y,z)=ysinz and c is the circular helix parameterized by r(t)=(cost,sint,t), 0 \leq t \leq 2 \pi

    \int_{0}^{2\pi}t\sin(t)\sqrt{(-\sin(t))^2+(\cos(t))^2+1^2}dt=\sqrt{2}\int_{0}^{2 \pi } t\sin(t)dt
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