Evaluate the Following Definite Integral $\int _ { 0 } ^ { 5 \sqrt { \pi } } z \cos \left( 7 z ^ { 2 } \right) d z$

question 160

Multiple Choice

Evaluate the following definite integral. $\int _ { 0 } ^ { 5 \sqrt { \pi } } z \cos \left( 7 z ^ { 2 } \right) d z$ Use a graphing utility to check your answer.

• A) \(- \frac { 1 } { 14 }\)
• B) \(\frac { 1 } { 14 }\)
• C) \(- 1\)
• D) 1
• E) 0

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Definitions:

Sympathetic Nervous System

Part of the autonomic nervous system that prepares the body for physical activity by increasing heart rate and blood flow, among other responses.

Parasympathetic Nervous System

Part of the autonomic nervous system responsible for conserving energy and relaxing the body by slowing the heart rate and increasing intestinal and glandular activity.

Somatic Nervous System

Part of the peripheral nervous system that governs voluntary movements and transmits sensory and motor information to and from the central nervous system.

Central Nervous System

The system of neural tissue responsible for regulating bodily actions, consisting of both the brain and the spinal cord.