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Integral Calculus

Lesson 14: Integrating using long division and completing the square

Integration using long division

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?