find the exact arc length of the parametric curve:

x=t^2cost, y=t^2sint, 0<=t<=2

how do i go about solving the above question?

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- August 6th 2009, 02:35 AMJonny-123Finding arc lengths
find the exact arc length of the parametric curve:

x=t^2cost, y=t^2sint, 0<=t<=2

how do i go about solving the above question? - August 6th 2009, 02:43 AMMush

for (so in your case

So, find and , then plug them into that equation, simplify the integrand as much as possible, and then integrate it with the limits. - August 6th 2009, 03:01 AMCalculus26
See attachment

- August 6th 2009, 08:28 AMDeMath
Also see this picture

http://s49.radikal.ru/i123/0908/f4/a7b46ac94f67.png

This is easier to calculate the integral , using this substitution .