Area of Parametric Curves

This calculus 2 video explains how to find the area under a curve of a parametric function. This video explains how to find the area of the shaded region by eliminating the parameter t. Parametric Equations - Introduction: https://www.youtube.com/watch?v=97pe-QlSGqA Derivatives of Parametric Functions: https://www.youtube.com/watch?v=kf2dZWqLnqE Tangent Lines of Parametric Curves: https://www.youtube.com/watch?v=vcZPjuG8GrM 2nd Derivative - Parametric Equations: https://www.youtube.com/watch?v=93IdxRdd5eg 3rd Derivative of Parametric Curves: https://www.youtube.com/watch?v=CZKl9C0_gMw ___________________________________ Horizontal & Vertical Tangent Lines: https://www.youtube.com/watch?v=jD2RIjbv1Us Area of Parametric Curves: https://www.youtube.com/watch?v=riEx7TcLfzk Arc Length of Parametric Curves: https://www.youtube.com/watch?v=X8N21DrWmjU Surface Area of Parametric Curves: https://www.youtube.com/watch?v=USiKDtILhmc Polar Coordinates - Introduction: https://www.youtube.com/watch?v=aSdaT62ndYE Tangent Line Equations - Polar Form: https://www.youtube.com/watch?v=ImtzLh8KhIE ____________________________________ Horizontal & Vertical Tangents - Polar: https://www.youtube.com/watch?v=EVemXHWbqWI Area of Polar Curves: https://www.youtube.com/watch?v=GQ6cDvY8K9g Area Between Polar Curves: https://www.youtube.com/watch?v=TwKxDApaxVo Arc Length of Polar Curves: https://www.youtube.com/watch?v=bxswSV1utxg Surface Area of Polar Curves: https://www.youtube.com/watch?v=n-Zg7WgRzjA _______________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections