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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §7.3 Trigonometric Substitutions, #23 · Calculus · Techniques of integration

Integrate … with …, and also directly as a logarithm

Integrate $x / (x^{2} + 1)$ with $x = tan θ$ , and also directly as a logarithm. Show that the results agree.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §7.3 Trigonometric Substitutions, #23

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