Compute the following 10-dimensional integral via Monte Carlo Rejection sampling method,
\[I = \int_{x_1 = 0}^{x_1 = 1} dx_1 \cdots \int_{x_{10} = 0}^{x_{10} = 1} dx_{10} \bigg(\sum_{i=1}^{i=10} ~ x_i ~ \bigg) ~,\]Ensure the accuracy of your integration result is better than $0.00001$ by progressively comparing the integral with actual integration result $I = 155 / 6$.
