Use Reduction Formulas to Evaluate the Integral $$\int \sin ^ { 3 } 2 x \sec ^ { 5 } 2 x d x$$

question 20

Multiple Choice

Use reduction formulas to evaluate the integral.
- $$\int \sin ^ { 3 } 2 x \sec ^ { 5 } 2 x d x$$

• A) \(\frac { \sec ^ { 6 } 2 x } { 6 } + C\)
• B) \(\frac { \tan ^ { 4 } 2 x \sec 2 x } { 8 } + C\)
• C) \(\frac { \tan ^ { 4 } 2 x } { 8 } + C\)
• D) \(\frac { \tan ^ { 6 } 2 x } { 6 } + C\)

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Definitions:

Blood Cells

Cells found in blood, including red blood cells (for oxygen transport), white blood cells (for immune defense), and platelets (for blood clotting).

Erythrocyte Destruction

The breakdown or hemolysis of red blood cells, which can lead to conditions such as anemia.

Endocrine Glands

Glands of the endocrine system that secrete their products, hormones, directly into the blood rather than through a duct.

IgG

A type of antibody representing the majority of antibodies in the body, critical for fighting bacterial and viral infections.