Evaluate the Integral by Making a Substitution and Then Using $$\int \frac { x d x } { 25 x ^ { 2 } + 20 x + 4 }$$

question 166

Multiple Choice

Evaluate the integral by making a substitution and then using a table of integrals.
- $$\int \frac { x d x } { 25 x ^ { 2 } + 20 x + 4 }$$

• A) \(\frac { 1 } { 5 } \ln \left( 5 x ^ { 2 } + 2 x \right)\)
• B) \(\frac { 1 } { 4 } \left[ \ln ( 2 x + 5 ) + \frac { 5 } { 2 x + 5 } \right] + C\)
• C) \(\frac { x } { 5 } - \frac { 2 } { 25 } \ln ( 5 x + 2 ) + C\)
• D) \(\frac { 1 } { 25 } \left[ \ln ( 5 x + 2 ) + \frac { 2 } { 5 x + 2 } \right] + C\)

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