MAT136H1 Lecture Notes - Polar Coordinate System

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MAT136H1 Full Course Notes
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Question #5 (medium): integral for arc length from parametric equations. When working with parametric equations, the length of the curve is given by: Set an integral that represents the length of the curve. Then find the exact length of the curve. In order to find the length of the curve base on the parametric equations, first and are needed. and. Given ( parameter t, therefore the interval should be that for the parameter t. then: Then since it is in the form of chain rule, substitution can be used. Let then , then the integral will be taken with respect to the.

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