Determine the Integral by Making an Appropriate Substitution $\int \frac { x + \frac { 3 } { 2 } } { x ^ { 2 } + 3 x }$

question 147

Multiple Choice

Determine the integral by making an appropriate substitution.
- $\int \frac { x + \frac { 3 } { 2 } } { x ^ { 2 } + 3 x }$ dx

• A) \(\left( x ^ { 2 } + 3 x \right) ^ { 2 }\) + C
• B) \(\left( x ^ { 2 } + 3 x \right) ^ { - 1 }\) + C
• C) \(\frac { 1 } { 2 }\) ln \(\left| x ^ { 2 } + 3 x \right|\) + C
• D) ln \(\left| x ^ { 2 } + 3 x \right|\) + C
• E) none of these

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