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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

Question 79

Multiple Choice

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


A) ln⁡∣x−1x2∣−2x−1+x+C\ln \left| \frac { x - 1 } { x ^ { 2 } } \right| - \frac { 2 } { x - 1 } + x + C
B) ln⁡∣x2x−1∣−2x−1+x+C\ln \left| \frac { x ^ { 2 } } { x - 1 } \right| - \frac { 2 } { x - 1 } + x + C
C) ln⁡∣x2x−1∣−1x−1+x+C\ln \left| \frac { x ^ { 2 } } { x - 1 } \right| - \frac { 1 } { x - 1 } + x + C
D) ln⁡∣x−1x2∣−1x−1+x+C\ln \left| \frac { x - 1 } { x ^ { 2 } } \right| - \frac { 1 } { x - 1 } + x + C

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