Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §7.3 Trigonometric Substitutions, #22 · Calculus · Techniques of integration

Compute … with

Compute $\int d x / x x^{2} - 1$ with $x = sec θ$ . Recompute with $x = csc θ$ . How can both answers be correct?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §7.3 Trigonometric Substitutions, #22

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