λ\displaystyle \lambda and \wp under the ceilings!

Calculus Level 5

λ=01dx1+x3\displaystyle \lambda = \int_{0}^{1} \frac{dx}{1+x^3}

=limn(r=1r=nn2+r2n2)1n\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 3λ+ln\displaystyle \lceil 3 \lambda + \ln \wp \rceil

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