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Find the Integral 5x29x+6x32x2+xdx\int \frac{5 x^{2}-9 x+6}{x^{3}-2 x^{2}+x} d x A) lnx6x11x1+C\ln \left|\frac{x^{6}}{x-1}\right|-\frac{1}{x-1}+C

Question 103

Multiple Choice

Find the integral. 5x29x+6x32x2+xdx\int \frac{5 x^{2}-9 x+6}{x^{3}-2 x^{2}+x} d x


A) lnx6x11x1+C\ln \left|\frac{x^{6}}{x-1}\right|-\frac{1}{x-1}+C
B) lnx1x61x1+C\ln \left|\frac{x-1}{x^{6}}\right|-\frac{1}{x-1}+C
C) lnx1x62x1+C\ln \left|\frac{x-1}{x^{6}}\right|-\frac{2}{x-1}+C
D) lnx6x12x1+C\ln \left|\frac{x^{6}}{x-1}\right|-\frac{2}{x-1}+C

Correct Answer:

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