Evaluate the Integral $$\int _ { \pi / 16 } ^ { \pi / 8 } 4 \cot ( 4 \theta ) d \theta$$

question 100

Multiple Choice

Evaluate the integral.
- $$\int _ { \pi / 16 } ^ { \pi / 8 } 4 \cot ( 4 \theta ) d \theta$$

• A) \(\ln 2\)
• B) \(- \frac { \ln 2 } { 2 }\)
• C) \(\frac { \ln 2 } { 2 }\)
• D) \(\frac { \ln 8 } { 2 }\)

---

Definitions:

Compounded Annually

This term describes interest on an investment that is calculated once a year, where the interest added also earns interest in subsequent years.

Withdrawals

Money taken out from a business by its owners for personal use.

Compound Interest

Interest calculated on the initial principal as well as the accumulated interest of previous periods of a deposit or loan.

Annual Payments

Regular payments made once a year, often used in the context of loans, insurance, or annuities.