<latex>
\frac{3}{4 \pi} \sqrt{4 \cdot x^2 12}\\ \lim_{n \to \infty} \sum_{k=1}^n \frac{1}{k^2} = \frac{\pi^2}{6} e^{i \pi} + 1 = 0 \\
</latex>
$$ \begin{align*} \int x^2 dx & = \frac{1}{3}x^3 \therefore\quad\int_0^1 x^2 dx &= \frac{1}{3} \end{align*} $$