Solve the Problem by Integration $\frac { 4 x + 4 } { x ^ { 2 } + 4 x }$

question 145

Multiple Choice

Solve the problem by integration.
-The general expression for the slope of a curve is $\frac { 4 x + 4 } { x ^ { 2 } + 4 x }$ . Find the equation of the curve if it passes through (1, 0 ) .

• A) \(y = \ln \left| \frac { x ( x - 4 ) ^ { 3 } } { 125 } \right|\)
• B) \(y = \ln \left| \frac { x ( x + 4 ) ^ { 3 } } { 5 } \right|\)
• C) \(y = \ln \left| x ( x + 4 ) ^ { 3 } \right|\)
• D) \(y = \ln \left| \frac { x ( x + 4 ) ^ { 3 } } { 125 } \right|\)