Use the Substitution Formula to Evaluate the Integral $$\int _ { 0 } ^ { 1 } \frac { d x } { \sqrt { 81 - x ^ { 2 } } }$$

question 73

Multiple Choice

Use the substitution formula to evaluate the integral.
- $$\int _ { 0 } ^ { 1 } \frac { d x } { \sqrt { 81 - x ^ { 2 } } }$$

• A) \(\sin ^ { - 1 } \frac { 1 } { 9 }\)
• B) \(9 \cos ^ { - 1 } \frac { 1 } { 9 }\)
• C) \(\frac { 1 } { 9 } \sin ^ { - 1 } \frac { 1 } { 9 }\)
• D) \(\cos ^ { - 1 } \frac { 1 } { 9 }\)

---

Definitions:

Money Supply

The entirety of monetary valuables available in an economy at any chosen time, featuring cash in the form of coins and notes, along with the sums in checking and savings accounts.

Interest Rate

The amount charged by lenders to borrowers for the use of money, expressed as a percentage of the principal.

Real GDP

The measure of a country's economic output adjusted for price changes (inflation or deflation), representing the value of all goods and services produced over a specific period.

Money Supply

The total amount of money resources gathered in an economy at a certain time.