Integration of reducible and irreducible quadratic factors

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∫ 1/(x^2 + 1) dx = ?
A
tan⁻¹(x) + C
B
ln(x^2+1) + C
C
x/(x^2+1) + C
D
-cot⁻¹(x) + C
Analysis & Theory

This is a standard irreducible quadratic factor. ∫ dx/(x^2+1) = tan⁻¹(x) + C.