# How do you find the volume of the solid with base region bounded by the curve y=e^x, y=ln4, and the y-axis if cross sections perpendicular to the y-axis are squares?

##### 1 Answer
Aug 27, 2014

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.
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