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 146

Short Answer

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.

---

Definitions:

Output Decreased

A reduction in the quantity of goods or services produced by a company, industry, or economy.

Tobacco Industry

A sector of the economy encompassing the farming, manufacture, and sale of tobacco and tobacco-related products.

Government Intervention

Regulatory actions taken by a government in order to affect or interfere with decisions made by individuals, groups, or organizations regarding economic and social matters.

Equilibrium Price

The price at which the quantity of a good or service demanded by consumers is equal to the quantity supplied by producers, resulting in a stable market condition.