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Verify the Integration Formula

question 71

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Verify the integration formula.
- xcsch1xdx=x22csch1x+121+x2+C\int x \operatorname { csch } ^ { - 1 } x d x = \frac { x ^ { 2 } } { 2 } \operatorname { csch } ^ { - 1 } x + \frac { 1 } { 2 } \sqrt { 1 + x ^ { 2 } } + C


Definitions:

Tax Collections

The process by which governmental authorities, such as the IRS in the United States, collect taxes from individuals and businesses.

Payroll Tax

Taxes imposed on employers or employees, usually calculated as a percentage of the salaries that employers pay their staff.

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The supply and demand for labor, where workers find employment and employers find workers.

Equilibrium

A state in economics where demand equals supply, resulting in a stable market price and quantity.

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