$\int t e^{a t} d t=\frac{1}{a} t e^{a t}-\frac{1}{a^{2}} e^{a t}+C$

question 46

True/False

$\int t e^{a t} d t=\frac{1}{a} t e^{a t}-\frac{1}{a^{2}} e^{a t}+C$ , where a is a constant.

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Definitions:

Cost of Production

The total expense incurred in manufacturing goods or services, including raw materials, labor, and overhead costs.

Producer Surplus

The difference between the actual amount that producers receive from selling a good and the minimum amount they would accept to produce that good.

Supply Curve

A graph that shows the relationship between the price of a good and the quantity of the good that producers are willing to sell.

Total Surplus

The sum of consumer surplus and producer surplus, representing the total benefit to society from the production and consumption of goods and services.