Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §7.3 Trigonometric Substitutions, #57 · Calculus · Techniques of integration

What is wrong, if anything, with …\int_0^2 \frac{dx}{\sqrt{1-x^2}} = \sin^{-1}2

What is wrong, if anything, with
$\int_{0}^{2} \frac{d x}{1 - x ^{2}} = sin^{- 1} 2 ?$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §7.3 Trigonometric Substitutions, #57

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