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

question 29

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:

Randomization

A process used in experimental designs to ensure that each participant has an equal chance of being assigned to any given group, aiming to eliminate bias.

Experimentation

A method of scientific investigation involving the manipulation and control of variables to establish cause-and-effect relationships.

Independent Variables

Variables in an experiment that are manipulated or changed by the researcher to determine their effects on dependent variables.

Dependent Variables

In experimental and statistical research, the variable being tested and measured, expected to change as a result of manipulations to the independent variable.