The Region Under the Curve $y = 6 \sin ^ { 2 } x , 0 \leq x \leq \pi$

question 155

Short Answer

The region under the curve $y = 6 \sin ^ { 2 } x , 0 \leq x \leq \pi$ is rotated about the $x$ -axis. Find the volume of the resulting solid.

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Definitions:

Equilibrium Level

The point at which market supply equals market demand, leading to a stable situation where there is neither excess demand nor excess supply.

Equilibrium Price

The price at which the quantity of a good or service supplied is equal to the quantity demanded, resulting in no net surplus or shortage in the market.

Natural Gas

A fossil fuel used as a source of energy for heating, cooking, and electricity generation, consisting primarily of methane.

Supply And Demand

The fundamental economic model that explains the interaction between the quantity of a good or service that producers wish to sell and the quantity that consumers wish to buy.