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

question 23

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:

Atomic Nucleus

The central core of an atom, composed of protons and neutrons.

Radioactive Material

Radioactive material consists of substances that emit radiation as a result of the spontaneous disintegration of atomic nuclei.

Radiation Sickness

An illness caused by excessive exposure to ionizing radiation, characterized by symptoms such as nausea, weakness, hair loss, skin burns, and decreased organ function.