Find the Indefinite Integral $$\int \frac { 2 x - 4 } { x ^ { 2 } + 4 x + 13 } d x$$

question 16

Multiple Choice

Find the indefinite integral. $$\int \frac { 2 x - 4 } { x ^ { 2 } + 4 x + 13 } d x$$

• A) \(\ln \left| x ^ { 2 } + 4 x + 13 \right| - \frac { 8 } { 3 } \arctan \left( \frac { x + 2 } { 3 } \right) + C\)
• B) \(\ln \left| x ^ { 2 } + 4 x + 13 \right| + C\)
• C) \(- \frac { 8 } { 3 } \arctan \left( \frac { x + 2 } { 3 } \right) + C\)
• D) \(\ln \left| x ^ { 2 } + 4 x + 13 \right| + \frac { 8 } { 3 } \arctan \left( \frac { x + 2 } { 3 } \right) + C\)
• E) \(\frac { 8 } { 3 } \arctan \left( \frac { x + 2 } { 3 } \right) + C\)

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