Finish the limerick

$\large \displaystyle \int_1^{\sqrt[3]{3}} z^2 \, \mathrm{d}z \times \cos \left (\frac{3\pi}{9} \right ) = \, ?$

Answer the above integral to 3 decimal places and finish the below limerick:

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Integral zee squared dee zee
From one to cube root of three
Times the cosine
Of three pi over nine
Is the log of the ...