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Find the Integral x33x2+6x2x32x2+xdx\int \frac{x^{3}-3 x^{2}+6 x-2}{x^{3}-2 x^{2}+x} d x A) lnx1x21x1+x+C\ln \left|\frac{x-1}{x^{2}}\right|-\frac{1}{x-1}+x+C

Question 24

Multiple Choice

Find the integral. x33x2+6x2x32x2+xdx\int \frac{x^{3}-3 x^{2}+6 x-2}{x^{3}-2 x^{2}+x} d x


A) lnx1x21x1+x+C\ln \left|\frac{x-1}{x^{2}}\right|-\frac{1}{x-1}+x+C
B) lnx2x12x1+x+C\ln \left|\frac{x^{2}}{x-1}\right|-\frac{2}{x-1}+x+C
C) lnx1x22x1+x+C\ln \left|\frac{x-1}{x^{2}}\right|-\frac{2}{x-1}+x+C
D) lnx2x11x1+x+C\ln \left|\frac{x^{2}}{x-1}\right|-\frac{1}{x-1}+x+C

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