8, Find the exact length of the curve

Calculus
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Find the exact length of the curve.
x = et + et,     y = 5 − 2t,    0 ≤ t ≤ 2
Apr 4th, 2015

The length of the curve equals ∫02 √( (x't)2 + (y't)2) dt = ∫02 √( (et – e–t )2 + (-2)2) dt =

02 √( e2t – 2 + e–2t + 4) dt = ∫02 (et + e–t ) dt = (et – e–t )]02 = e2 – e–2 


Apr 4th, 2015

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Apr 4th, 2015
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Apr 4th, 2015
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