Use the Substitution Formula to Evaluate the Integral $$\int _ { \pi / 8 } ^ { \pi / 4 } 2 \cot ( 2 \theta ) d \theta$$

question 196

Multiple Choice

Use the substitution formula to evaluate the integral.
- $$\int _ { \pi / 8 } ^ { \pi / 4 } 2 \cot ( 2 \theta ) d \theta$$

• A) \(\frac { \ln 2 } { 2 }\)
• B) \(\frac { \ln 4 } { 2 }\)
• C) \(- \frac { \ln 2 } { 2 }\)
• D) \(\ln 2\)

---

Definitions:

Glucose

A basic form of sugar that serves as a crucial source of energy for living beings and is found in numerous carbohydrates.

Starch

A polysaccharide carbohydrate consisting of a large number of glucose units, used by plants as a way to store energy.

Cellulose

A polysaccharide consisting of a linear chain of glucose units, serving as the main structural component of plant cell walls.

Dietary Fiber

A type of carbohydrate that the body can't digest, found in the edible parts of plants or extracted from them and has various health benefits.