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

question 211

Multiple Choice

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

• A) \(\frac { 1 } { 4 } \tan ^ { - 1 } \left( \frac { \mathrm { x } + 3 } { 4 } \right) + \mathrm { C }\)
• B) \(\frac { 1 } { 4 } \sin ^ { - 1 } \left( \frac { x + 3 } { 4 } \right) + C\)
• C) \(( 2 x + 6 ) \ln \left| x ^ { 2 } + 6 x + 25 \right| + C\)
• D) \(4 \tan ^ { - 1 } \left( \frac { \mathrm { x } + 3 } { 4 } \right) + \mathrm { C }\)

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