IMathAS-libretexts

The graph above is of the function

\displaystyle {f{{\left({x}\right)}}}

.
The region bounded by the

\displaystyle {x}

-axis,

\displaystyle {f{{\left({x}\right)}}}

, and the lines

\displaystyle {x}={4}

and

\displaystyle {x}={6}

form the base of a solid whose cross sections perpendicular to the

\displaystyle {x}

axis are squares.
Determine the integral used to find the volume of this solid.

\displaystyle