Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §7.2 Trigonometric Integrals, #58 · Calculus · Techniques of integration

When lengths are scaled by …, area is scaled by ______

When lengths are scaled by $sec x$ , area is scaled by ______. Why is the area from the equator to latitude $x$ proportional to $tan x$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §7.2 Trigonometric Integrals, #58

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