Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.7 The Fundamental Theorem and Its Applications, #42 · Calculus · Integrals
The area of the ellipse in Figure (f) is
The area of the ellipse in Figure (f) is . Its derivative is . But this is not the correct perimeter. Where does the usual reasoning go wrong?
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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.7 The Fundamental Theorem and Its Applications, #42
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