Use Differentiation to Determine Whether the Integral Formula Is Correct $$\int 20 ( 5 x + 5 ) ^ { 3 } d x = ( 5 x + 5 ) ^ { 4 } + C$$

question 401

True/False

Use differentiation to determine whether the integral formula is correct.
- $$\int 20 ( 5 x + 5 ) ^ { 3 } d x = ( 5 x + 5 ) ^ { 4 } + C$$

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Definitions:

Consumer Surplus

The gap in the total amount consumers are willing to invest in a product or service and the amount they end up paying.

Producer Surplus

The difference between what producers are willing to accept for a good or service versus what they actually receive, measuring their benefit.

Total Surplus

The sum of consumer surplus and producer surplus, representing the total benefit to society from the production and consumption of a good or service.

Tax

A financial charge or levy imposed by a government on individuals, corporations, or transactions to fund public expenditures.