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Evaluate the Integral dxx2+6x+25\int \frac { d x } { x ^ { 2 } + 6 x + 25 }

Question 211

Multiple Choice

Evaluate the integral.
- dxx2+6x+25\int \frac { d x } { x ^ { 2 } + 6 x + 25 }


A) 14tan1(x+34) +C\frac { 1 } { 4 } \tan ^ { - 1 } \left( \frac { \mathrm { x } + 3 } { 4 } \right) + \mathrm { C }
B) 14sin1(x+34) +C\frac { 1 } { 4 } \sin ^ { - 1 } \left( \frac { x + 3 } { 4 } \right) + C
C) (2x+6) lnx2+6x+25+C( 2 x + 6 ) \ln \left| x ^ { 2 } + 6 x + 25 \right| + C
D) 4tan1(x+34) +C4 \tan ^ { - 1 } \left( \frac { \mathrm { x } + 3 } { 4 } \right) + \mathrm { C }

Correct Answer:

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