# Calculating Volume using Integrals

## Key Questions

• Since its cross-sections are squares, its area can be expressed as
$A \left(y\right) = {\left(\ln y\right)}^{2}$
So, the volume of the solid can be found by:
$V = {\int}_{1}^{\ln 4} {\left(\ln y\right)}^{2} \mathrm{dy}$.
Can you go from here? You might have to use integration by parts twice.
Please watch these videos for more details.