Solve the Problem $$\int _ { A } ^ { B } z ^ { 2 } d x + 3 y d y + 2 x z d z$$

question 269

Essay

Solve the problem.
-Show that the value of the integral does not depend on the path taken from A to B.
$$\int _ { A } ^ { B } z ^ { 2 } d x + 3 y d y + 2 x z d z$$

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Definitions:

Acetylcholine

A neurotransmitter in the nervous system that plays an important role in muscle contraction and cognitive functions.

Agonist

is a substance that binds to a receptor and triggers a response in the body, often mimicking the action of a naturally occurring substance.

Excitatory Neurotransmitter

Chemical substances in the nervous system that increase the likelihood of firing the neuron to which they bind, promoting neural activity.

Limbic System

A complex set of brain structures located on both sides of the thalamus, immediately beneath the cerebrum, involved in various functions including emotions, behavior, and long-term memory.