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AP®︎/College Calculus BC

Lesson 12: Integrating functions using long division and completing the square

Integration using long division

AP.CALC: FUN‑6 (EU), FUN‑6.D (LO), FUN‑6.D.3 (EK)

Evaluate the integral integral, start fraction, x, minus, 5, divided by, minus, 2, x, plus, 2, end fraction, d, x.

(Choice A)
start fraction, 1, divided by, 2, end fraction, x, minus, 2, natural log, vertical bar, x, minus, 1, vertical bar, plus, C
(Choice B)
start fraction, 1, divided by, 2, end fraction, x, plus, 2, natural log, vertical bar, x, minus, 1, vertical bar, plus, C
(Choice C)
minus, start fraction, 1, divided by, 2, end fraction, x, minus, 2, natural log, vertical bar, x, minus, 1, vertical bar, plus, C
(Choice D)
minus, start fraction, 1, divided by, 2, end fraction, x, plus, 2, natural log, vertical bar, x, minus, 1, vertical bar, plus, C

Stuck?