Evaluate the Integral $$\int x ^ { 4 } \sec x ^ { 5 } d x$$

question 249

Multiple Choice

Evaluate the integral. The integral may not require integration by parts.
- $$\int x ^ { 4 } \sec x ^ { 5 } d x$$

• A) \(5 \ln \left| \sec x ^ { 5 } - \tan x ^ { 5 } \right| + C\)
• B) \(x ^ { 6 } \sec x ^ { 6 } + C\)
• C) \(\frac { 1 } { 4 } \ln \left| \sec x ^ { 5 } + \tan x ^ { 5 } \right| + C\)
• D) \(\frac { 1 } { 5 } \ln \left| \sec x ^ { 5 } + \tan x ^ { 5 } \right| + C\)

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Definitions:

Plasma Cells

A type of white blood cell that produces and secretes large volumes of antibodies.

Clonal Selection Theory

A fundamental principle in immunology that explains how lymphocytes proliferate and differentiate in response to specific antigens, leading to immune memory.

B Cells

A type of white blood cell that plays a significant role in the body's immune response by producing antibodies.

Plasma Cells

White blood cells that produce antibodies, playing a critical role in the immune system's response to infection and disease.