Evaluate the Integral $$\int \sin 8 t \sin 2 t d t$$

question 295

Multiple Choice

Evaluate the integral.
- $$\int \sin 8 t \sin 2 t d t$$

• A) \(\frac { 1 } { 12 } \sin 6 t - \frac { 1 } { 20 } \cos 10 t + C\)
• B) \(\frac { 1 } { 12 } \sin 6 t + \frac { 1 } { 20 } \sin 10 t + C\)
• C) \(\frac { 1 } { 12 } \sin 6 t - \frac { 1 } { 20 } \sin 10 t + C\)
• D) \(\frac { 1 } { 12 } \sin 8 t - \frac { 1 } { 20 } \sin 2 t + C\)

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Definitions:

Equilibrium Price

The price at which the quantity of a good or service demanded by consumers equals the quantity supplied by producers.

Binding Price Floor

A price floor set above the equilibrium price, causing a surplus by legally preventing the price from falling to its natural equilibrium level.

Surplus

The situation in which the quantity supplied of a good exceeds the quantity demanded, often leading to a drop in prices.

Equilibrium Price

Equilibrium price is the market price at which the quantity of goods supplied is equal to the quantity of goods demanded.