Evaluate the Integral $$\int \left( x ^ { 2 } - 3 x \right) e ^ { x } d x$$

question 257

Multiple Choice

Evaluate the integral.
- $$\int \left( x ^ { 2 } - 3 x \right) e ^ { x } d x$$

• A) \(\frac { 1 } { 3 } x ^ { 3 } e ^ { x } - \frac { 3 } { 2 } x ^ { 2 } e ^ { x } + C\)
• B) \(e ^ { x } \left[ x ^ { 2 } - 3 x + 3 \right] + C\)
• C) \(e ^ { x } \left[ x ^ { 2 } - 5 x + 5 \right] + C\)
• D) \(e ^ { x } \left[ x ^ { 2 } - 5 x - 5 \right] + C\)

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Definitions:

Phenotype

The observable characteristic of an organism that may or may not reflect a particular genotype due to the variable expression of dominant and recessive alleles.

Law Of Independent Assortment

The Mendelian principle that genes controlling different traits are inherited independently of one another.

Mendel

Gregor Mendel, a 19th-century scientist and Augustinian monk known as the father of genetics for his work on the inheritance of traits in pea plants which established the laws of Mendelian inheritance.

Classificatory System

An organized method for categorizing and grouping entities based on common characteristics or relationships.