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Find the Integral ∫5x2−9x+6x3−2x2+xdx\int \frac{5 x^{2}-9 x+6}{x^{3}-2 x^{2}+x} d x A) ln⁡∣x6x−1∣−1x−1+C\ln \left|\frac{x^{6}}{x-1}\right|-\frac{1}{x-1}+C

Question 103

Multiple Choice

Find the integral. ∫5x2−9x+6x3−2x2+xdx\int \frac{5 x^{2}-9 x+6}{x^{3}-2 x^{2}+x} d x


A) ln⁡∣x6x−1∣−1x−1+C\ln \left|\frac{x^{6}}{x-1}\right|-\frac{1}{x-1}+C
B) ln⁡∣x−1x6∣−1x−1+C\ln \left|\frac{x-1}{x^{6}}\right|-\frac{1}{x-1}+C
C) ln⁡∣x−1x6∣−2x−1+C\ln \left|\frac{x-1}{x^{6}}\right|-\frac{2}{x-1}+C
D) ln⁡∣x6x−1∣−2x−1+C\ln \left|\frac{x^{6}}{x-1}\right|-\frac{2}{x-1}+C

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