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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

Question 52

Multiple Choice

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


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

Correct Answer:

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