\(\displaystyle \lambda\) and \(\wp\) under the ceilings!

Calculus Level 5

\[\displaystyle \lambda = \int_{0}^{1} \frac{dx}{1+x^3}\]

\[\displaystyle \wp = \lim_{n \to \infty} \Bigg(\prod_{r=1}^{r=n} \frac{n^2 + r^2}{n^2}\Bigg)^{\frac{1}{n}}\] Then what is the value of \[\displaystyle \lceil 3 \lambda + \ln \wp \rceil\]

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