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Use Long Division to Evaluate the Integral 01x3+12x236x+1x2+4x12dx\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. 01x3+12x236x+1x2+4x12dx\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.


Definitions:

Cardiovascular Disease

A class of diseases that involve the heart or blood vessels, including coronary artery disease, hypertension, and stroke, among others.

Heart Attack

A medical emergency characterized by the death of heart muscle due to the sudden blockage of a coronary artery, leading to symptoms like chest pain, shortness of breath, and nausea.

Sympathetic Nervous System

Part of the autonomic nervous system that activates what is often termed the fight or flight response.

Autonomic Nervous System

A component of the nervous system that controls involuntary functions such as heart rate and digestion.

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