Chapter 5 - The Integral - 5.1 Approximating and Computing Area - Exercises - Page 236: 38

378,507,500

\begin{equation} \sum_{k=101}^{200}k^{3}=\sum_{k=1}^{200}k^{3}-\sum_{k=1}^{100}k^{3}\end{equation}\begin{equation}=\frac{200^{2}(200+1)^{2}}{4}-\frac{100^{2}(100+1)^{2}}{4}\end{equation}\begin{equation}=378,507,500 \end{equation}