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

Question 24

Multiple Choice

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

A) $\ln \left|\frac{x-1}{x^{2}}\right|-\frac{1}{x-1}+x+C$
B) $\ln \left|\frac{x^{2}}{x-1}\right|-\frac{2}{x-1}+x+C$
C) $\ln \left|\frac{x-1}{x^{2}}\right|-\frac{2}{x-1}+x+C$
D) $\ln \left|\frac{x^{2}}{x-1}\right|-\frac{1}{x-1}+x+C$

Find the Integral ∫x3−3x2+6x−2x3−2x2+xdx\int \frac{x^{3}-3 x^{2}+6 x-2}{x^{3}-2 x^{2}+x} d x∫x3−2x2+xx3−3x2+6x−2​dx A) ln⁡∣x−1x2∣−1x−1+x+C\ln \left|\frac{x-1}{x^{2}}\right|-\frac{1}{x-1}+x+Cln​x2x−1​​−x−11​+x+C

Multiple Choice

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

Correct Answer:
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