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Math Help - Curve lengths...

  1. #1
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    Curve lengths...

    Not really sure how to approach this one:
    Consider the parametric equation: x=5[cos(theta)+(theta)sin(theta)]
    y=5[sin(theta)-(theta)cos(theta)]

    What is the length of the curve for theta=0 to theta= (9/2)pi


    Thanks
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  2. #2
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    Quote Originally Posted by N736RA View Post
    Not really sure how to approach this one:
    Consider the parametric equation: x=5[cos(theta)+(theta)sin(theta)]
    y=5[sin(theta)-(theta)cos(theta)]

    What is the length of the curve for theta=0 to theta= (9/2)pi


    Thanks
    Because I'm lazy, I'll use t instead of \theta.

    You're familiar with the formula L = \int_{t=a}^{t=b} \sqrt{\left( \frac{dx}{dt} \right)^2 + \left( \frac{dy}{dt} \right)^2 } \, dt, right?

    Make the appropriate substitutions. The integrand becomes t and the integration is therefore trivial ......
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  3. #3
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    what was that formula? It showed up as "latex error: syntax error", thanks for the help! edit now i see it
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