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Find the Most General Antiderivative (3x2+14x)dx\int \left( \frac { 3 } { x ^ { 2 } + 1 } - \frac { 4 } { x } \right) d x

Question 380

Multiple Choice

Find the most general antiderivative.
- (3x2+14x) dx\int \left( \frac { 3 } { x ^ { 2 } + 1 } - \frac { 4 } { x } \right) d x


A) 3tan1x+4lnx+C3 \tan ^ { - 1 } x + 4 \ln | x | + C
B) 3tan1xlnx+C3 \tan ^ { - 1 } x - \ln | x | + C
C) tan1x3lnx4+C\frac { \tan ^ { - 1 } x } { 3 } - \frac { \ln | x | } { 4 } + C
D) 3tan1x4lnx+C3 \tan ^ { - 1 } x - 4 \ln | x | + C

Correct Answer:

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