Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.2 Length of a Plane Curve, #14 · Calculus · Applications of integrals

… and … lead to

$x = (1 - \frac{1}{2} cos 2 t) cos t$ and $y = (1 + \frac{1}{2} cos 2 t) sin t$ lead to $4 (1 - x^{2} - y^{2})^{3} = 27 (x^{2} - y^{2})^{2}$ . Find the arc length from $t = 0$ to $π /4$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.2 Length of a Plane Curve, #14

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