During the implementation of the finite element method, the evaluation of the integrals that contain shape functions and their derivatives is required. Evaluate the following integrals for a linear one-dimensional element

\[ \begin{equation*} \int_{l} N_{i} d l ; \int_{l} N_{i}^{2} d l ; \int_{l} \frac{d N_{i}}{d x} \frac{d N_{j}}{d x} d l ; \int_{l} N_{i}^{3} d l ; \int_{l} N_{i} N_{j} d l \tag{3.301} \end{equation*} \]