AP

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Determine

\displaystyle \int \dfrac{6x-2}{3x^{2}-2x+7}\,dx

. (a)

\arctan\!\left(\dfrac{3x-1}{\sqrt{7}}\right)+C

(b)

\dfrac{(3x^{2}-2x+7)^{2}}{4}+C

(c)

\ln|3x^{2}-2x+7|+C

(d)

\tfrac12\,\ln|3x^{2}-2x+7|+C