Make a Substitution to Express the Integrand as a Rational $\int _ { 4 } ^ { 25 } \frac { \sqrt { x } } { x - 100 } d x$

question 74

Short Answer

Make a substitution to express the integrand as a rational function and then evaluate the integral. $\int _ { 4 } ^ { 25 } \frac { \sqrt { x } } { x - 100 } d x$ Round the answer to four decimal places.

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Definitions:

Initial Attitude

The preconceived opinion or feeling one has towards something or someone before receiving additional information.

Fear-Inducing Messages

These are communications designed to elicit fear in order to influence attitudes, behaviors, or perceptions.

Health Behavior

Actions taken by individuals that affect health or mortality, including habits related to diet, exercise, and medical care.

Terror Management Theory

A theory suggesting that the awareness of one's mortality can evoke existential terror, which humans manage through cultural beliefs and behaviors.