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Math Help - Integral problem

  1. #1
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    Integral problem

    If C has the parametric equation
    (x,y,z)=(t\cos(3t), t\sin(3t), \frac{t}{2} where 0\leq t\leq \pi
    How do you find  \int^ {}_{C} zds
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by pkrleads View Post
    If C has the parametric equation
    (x,y,z)=(t\cos(3t), t\sin(3t), \frac{t}{2} where 0\leq t\leq \pi
    How do you find  \int^ {}_{C} zds
    ds=\sqrt{\left[\frac{dx}{dt}\right]^2+\left[\frac{dy}{dt}\right]^2+\left[\frac{dz}{dt}\right]^2}dt

    So:

     \int^ {}_{C} zds=\int_{t=0}^{\pi} \frac{t}{2}\sqrt{\left[\frac{dx}{dt}\right]^2+\left[\frac{dy}{dt}\right]^2+\left[\frac{dz}{dt}\right]^2}dt

    CB
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