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The Antiderivative Of f(x)=11+x2+2xf ( x ) = \frac { 1 } { 1 + x ^ { 2 } } + \frac { 2 } { x }

Question 83

Multiple Choice

The antiderivative of f(x) =11+x2+2xf ( x ) = \frac { 1 } { 1 + x ^ { 2 } } + \frac { 2 } { x } is


A) tan1x+2lnx+C- \tan ^ { - 1 } x + 2 \ln x + C
B) tan1x2lnx+C\tan ^ { - 1 } x - 2 \ln x + C
C) tan1x+2lnx+C\tan ^ { - 1 } x + 2 \ln x + C
D) tan1x2lnx+C- \tan ^ { - 1 } x - 2 \ln x + C
E) tan1x+12lnx+C\tan ^ { - 1 } x + \frac { 1 } { 2 } \ln x + C

Correct Answer:

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