Find the Indefinite Integral $$\int \cos ^ { 3 } 2 x \sin ^ { 2 } 2 x d x$$

question 30

Multiple Choice

Find the indefinite integral. $$\int \cos ^ { 3 } 2 x \sin ^ { 2 } 2 x d x$$

• A) \(\frac { \sin 2 x } { 30 } \left( 4 - 5 \sin ^ { 2 } 2 x + 3 \sin ^ { 4 } 2 x \right) + C\)
• B) \(\frac { \sin 2 x } { 10 } \left( 5 \sin ^ { 2 } 2 x - 3 \sin ^ { 4 } 2 x \right) + C\)
• C) \(\frac { \sin 2 x } { 30 } \left( 5 \sin ^ { 2 } 2 x - 3 \sin ^ { 4 } 2 x \right) + C\)
• D) \(\frac { \sin 2 x } { 10 } \left( 4 - 5 \sin ^ { 2 } 2 x + 3 \sin ^ { 4 } 2 x \right) + C\)
• E) \(\frac { \sin 2 x } { 30 } \left( 5 \sin ^ { 2 } 2 x + 3 \sin ^ { 4 } 2 x \right) + C\)

---

Definitions:

High-End Segments

Market segments composed of consumers who purchase luxury or premium products and services.

Low-End Segments

Market segments that target price-sensitive consumers by offering products with fewer features or lower quality at a reduced price.

Multiple Products

Refers to a range of different products offered by a company, aimed at catering to varying customer needs and market segments.

Customers' Needs

The requirements or desires that clients seek to fulfill with products or services.