Evaluate the Integral to Six Decimal Places $$\int _ { 0 } ^ { 1 } \frac { x ^ { 3 } } { \sqrt { 64 - x ^ { 2 } } } d x$$

question 72

Short Answer

Evaluate the integral to six decimal places. $$\int _ { 0 } ^ { 1 } \frac { x ^ { 3 } } { \sqrt { 64 - x ^ { 2 } } } d x$$

---

Definitions:

Compound Interest

This refers to the method of calculating interest where the amount is based on the initial principal as well as the interest that has accumulated over prior periods for a loan or deposit.

Future Value

The value of an asset or cash at a specific future date, based on its expected growth over time.

Compounded Monthly

Interest calculation method where the accrued interest is added to the principal sum each month, leading to interest on interest.

Interest Charge

A fee charged by a lender to a borrower for the use of borrowed money, often expressed as an annual percentage of the principal.