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The Integral x3+3x4x2dx\int \frac { x ^ { 3 } + 3 x - 4 } { x - 2 } d x

Question 26

Multiple Choice

The integral x3+3x4x2dx\int \frac { x ^ { 3 } + 3 x - 4 } { x - 2 } d x is


A) 30lnx2+x33x221x3+C\frac { 30 \ln | x - 2 | + x ^ { 3 } - 3 x ^ { 2 } - 21 x } { 3 } + C
B) 30lnx2+x33x2+21x3+C\frac { 30 \ln | x - 2 | + x ^ { 3 } - 3 x ^ { 2 } + 21 x } { 3 } + C
C) 30lnx2x3+3x2+21x3+C\frac { 30 \ln | x - 2 | - x ^ { 3 } + 3 x ^ { 2 } + 21 x } { 3 } + C
D) 30lnx2+x3+3x2+21x3+C\frac { 30 \ln | x - 2 | + x ^ { 3 } + 3 x ^ { 2 } + 21 x } { 3 } + C
E) 30lnx2+x3+3x221x3+C\frac { 30 \ln | x - 2 | + x ^ { 3 } + 3 x ^ { 2 } - 21 x } { 3 } + C

Correct Answer:

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