Make a Substitution to Express the Integrand as a Rational

question 32

Essay

Make a substitution to express the integrand as a rational function and then evaluate the integral. Round the answer to four decimal places.

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Definitions:

Taste

is one of the five traditional senses, which perceives flavors and substances via receptors on the tongue and contributes to the experience of flavor.

Touch

A sensation perceived through the skin when it comes into contact with an external object, providing information about texture, temperature, and pressure.

Sensory Adaptation

The process by which a sensory system becomes insensitive to a constant stimulus over time.

Sensory Receptors

Highly specialized cells in the sense organs that detect and respond to one type of sensory stimulus—light, sound, or odor, for example—and transduce (convert) the stimuli into neural impulses.