Calc.AL3

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Calculate the arc length of y=cosh x from x=0 to x

y=\cosh x\,

{\frac  {dy}{dx}}=\sinh x

L=\int _{0}^{x}{\sqrt  {1+\sinh ^{2}x}}\,dx=\int _{0}^{x}\cosh x\,dx=\left[\sinh x\right]_{0}^{x}=\sinh x