6, Set up an integral

Calculus
Tutor: None Selected Time limit: 1 Day

Consider the following

x = t − 2 sin t,    y = 1 − 2 cos t,    0 ≤ t ≤ 2π
Set up an integral that represents the length of the curve.

Apr 4th, 2015

The length of the curve equals ∫0 √( (x't)2 + (y't)2) dt = ∫0 √( (1 – 2cos t )2 + (2sin t)2) dt =

0 √( 1 – 4cos t + 4cos2 t + 4sin2 t) dt = ∫0 √( 5 – 4cos t) dt 

Apr 4th, 2015

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Apr 4th, 2015
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Apr 4th, 2015
May 27th, 2017
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