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) \(y = \ln \left| \frac { x ( x + 4 ) ^ { 3 } } { 125 } \right|\)

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Definitions:

Subliminal Persuasion

A method of trying to influence people's thoughts, feelings, or actions without their conscious awareness.

Transduce

To convert one form of energy into another, as in sensory systems converting physical stimuli (like light and sound) into neural signals.

Neural Messages

Information transmitted through the nervous system by neuron cells using electrical and chemical signals.

Light Energy

The visible form of electromagnetic radiation, perceived by the human eye and crucial for photosynthesis in plants.