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Integrals and arc length

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Evaluate the integral in the attached file "Arc Length.doc" for arc length (L).
The intent is to solve for a numerical answer and the values for a, b, and t are all constant.

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The expert evaluates the integral in the attached file for arc length (L).

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Changing cos2 (w3t) for 1 - sin2 (w3t) and reducing radical to the form

we change also the integration variable for 3 ...

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