# Calc II Problem

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Find the length of y=cosh x for -1 Â¡Ãœ x Â¡Ãœ 2.

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

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Find the length of y=cosh x for -1 â‰¤ x â‰¤ 2.

The length of the curve will be given by :

Integral from -1 to 1 of ( 1+ dy/dx^2)^1/2

dy/dx = sinh x

Length = integral ( 1+ sinh ^2 x)^1/2 in limits -1 to 2

Integral is given by : { 1/ sqrt(x^2 +1)} between -1 to 2

Therefore length = Â½ - sqrt(1/5)

= .0528

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