Time remaining:
Set up an integral of the length of the curve

label Calculus
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schedule 0 Hours
account_balance_wallet $5

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 3rd, 2015

Integral sqrt [ (dx/dt)2+(dy/dt)2] dt  where t varies from 0 to 2n

dx/dt = 1-2 cos t 

dy/dt = 2sin t

(1-2 cos t)2+4sin2t= 1-4cost + 4 cos t +4 sin 2  t = 5 -4 cost

Integral √(5-cos t) dt between 0 to 2n


Apr 3rd, 2015

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Apr 3rd, 2015
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Apr 3rd, 2015
Jun 24th, 2017
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