Use Long Division to Evaluate the Integral $$\int _ { 0 } ^ { 1 } \frac { x ^ { 3 } + 12 x ^ { 2 } - 36 x + 1 } { x ^ { 2 } + 4 x - 12 } d x$$

question 59

Multiple Choice

Use long division to evaluate the integral. $$\int _ { 0 } ^ { 1 } \frac { x ^ { 3 } + 12 x ^ { 2 } - 36 x + 1 } { x ^ { 2 } + 4 x - 12 } d x$$ The choices are rounded to 3 decimal places.

• A) \(- 3.544\)
• B) \(6.456\)
• C) \(1.456\)
• D) \(- 8.544\)
• E) \(11.456\)

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Definitions:

Place Cells

Neurons in the hippocampus that become active when an animal is in, or is thinking about, a specific location in its environment.

Head Direction Cells

Specific neurons in the brain that fire to indicate the direction an animal's head is facing relative to its environment, aiding in navigation.

Grid Cells

A type of neuron in the brains of some animals that enables them to understand their position in space by forming a grid-like representation of their environment.

Spatial Map

A cognitive process that allows for the mental representation and storage of the layout of one's environment.