Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §7.3 Trigonometric Substitutions, #55 · Calculus · Techniques of integration

Rescale … and … in Figure 7.5b to produce the equal area…

Rescale $x$ and $y$ in Figure 7.5b to produce the equal area $\int y d x$ in Figure 7.5c. What happens to $y$ and what happens to $d x$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §7.3 Trigonometric Substitutions, #55

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