Find the Area of the Region Enclosed by the Curve $y = x \sin x$

question 56

Multiple Choice

Find the area of the region enclosed by the curve $y = x \sin x$ and the $x$ -axis for $2 \pi \leq x \leq 3 \pi$ .

• A) \(4 \pi\)
• B) 0
• C) \(5 \pi\)
• D) 4

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Definitions:

Geographic Isolation

A form of reproductive isolation in which two populations are separated by physical barriers, leading to the development of distinct species.

Rapid Evolutionary Change

A process where species undergo significant alterations in their genetic makeup over relatively short geological periods, often in response to dramatic environmental shifts.

Midrange Forms

Species or variations within species that exhibit characteristics or traits intermediate between two distinct groups, reflecting evolutionary or genetic transitions.

Trait

A distinct characteristic or attribute of an organism that can be passed from one generation to the next through genetic inheritance.