Calculus - Finding the Arc Length of a Curve

In general Arc Length integral can be very difficult to compute by hand.  In most calculus courses the professors only ask you to set up the integral. 

Below the equation for Arc Length is given as well as an example problem.  This problem requires 'u' substitution to be solved completely.  The answer is left in unsimplified terms. 

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Post any questions in the comments section.