(adsbygoogle = window.adsbygoogle || []).push({}); Find the length of the contour Gamma parametrized by [itex] z = z(t) = 5e^{3it} [/itex]

the legnth of contour is [tex] \int_{0}^{\pi} \left|\frac{dz}{dt}\right| dt [/tex]

now [tex] \left|\frac{dz}{dt}\right| = |15ie^{3it}| = |15ie^{3t}\cos(t) - 15e^{3t}\sin(t)| = \sqrt{225e^{6t} + 225e^{6t}} [/tex]

is this right so far?? I think im making a mess of the magnitude part

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# Length of a contour (easy)

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