Use Reduction Formulas to Evaluate the Integral $\int 3 \cos ^ { 3 } x \sin ^ { 6 } x d x$

question 240

Multiple Choice

Use reduction formulas to evaluate the integral.
- $\int 3 \cos ^ { 3 } x \sin ^ { 6 } x d x$

• A) \(\frac { 3 } { 7 } \left( \sin ^ { 7 } x - \sin ^ { 9 } x \right) + C\)
• B) \(\frac { 3 } { 5 } \cos ^ { 5 } x - \frac { 3 } { 7 } \cos ^ { 7 } x + C\)
• C) \(\frac { 3 } { 7 } \sin ^ { 7 } x - \frac { 1 } { 3 } \sin ^ { 9 } x + C\)
• D) \(\frac { 3 } { 5 } \sin ^ { 5 } x - \frac { 1 } { 3 } \cos ^ { 9 } x + C\)

Identify central issues in organizational behavior relevant to public service.

Understand the principles of new public management and its impacts on efficiency and accountability.

Comprehend the dialogue-based nature of determining public interest.

Appreciate the recurrent themes of new public service including citizenship, community, and inclusion.

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Definitions:

Magnetic Stripes

Patterns of alternating magnetic polarity found on the ocean floor parallel to mid-ocean ridges, providing evidence for the theory of plate tectonics and seafloor spreading.

Volcanic Rocks

Rocks formed from the cooling and solidification of magma or lava.

Oceanic Crust

The portion of the Earth's crust that forms the ocean basins, primarily composed of basalt and denser than continental crust.

Plate Boundary

The edges where two tectonic plates meet, which can be categorized into convergent, divergent, or transform boundaries based on their movement relative to each other.