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Solve the Problem by Integration 4x+4x2+4x\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 4x+4x2+4x\frac { 4 x + 4 } { x ^ { 2 } + 4 x } . Find the equation of the curve if it passes through (1, 0 ) .


A) y=lnx(x4) 3125y = \ln \left| \frac { x ( x - 4 ) ^ { 3 } } { 125 } \right|
B) y=lnx(x+4) 35y = \ln \left| \frac { x ( x + 4 ) ^ { 3 } } { 5 } \right|
C) y=lnx(x+4) 3y = \ln \left| x ( x + 4 ) ^ { 3 } \right|
D) y=lnx(x+4) 3125y = \ln \left| \frac { x ( x + 4 ) ^ { 3 } } { 125 } \right|

Correct Answer:

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