Find the length of parametrized curve given by(adsbygoogle = window.adsbygoogle || []).push({});

[tex]x(t) = 0t^3 +12t^2 - 24t[/tex],

[tex]y(t) = -4t^3 +12t^2+0t[/tex],

where t goes from zero to one.

Hint: The speed is a quadratic polynomial with integer coefficients.

it's an arclength question right?

x' = 24*t-24

y' = -12*t^2+24*t

[tex]\int_{0}^{1} \sqrt{(24*t-24)^2 + (-12*t^2+24*t)^2}[/tex]

i get 6.49 when i use a math program to integrate it which is incorrect. anyone know where i went wrong?

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# Parametrized curve

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