14.6.3 Approximate calculation of integrals

In the expansive landscape of numerical analysis, the quest to compute integrals lies at the core of many mathematical challenges. Whether faced with complex functions, improper integrals, or multidimensional spaces, the Approximate Calculation of Integrals emerges as a cornerstone technique for obtaining numerical solutions. Rooted in the principles of discretization and summation, this method offers a pragmatic approach to evaluating integrals and gaining insights into a wide range of scientific and engineering problems. By breaking down the integration domain into smaller intervals and approximating the function within each segment, this method transforms intricate mathematical problems into manageable tasks. From determining areas under curves to simulating physical phenomena, its versatility is a testament to its utility across diverse fields.You can find calculations of integrals with the following methods: Simpson, rectangles and trapezoids.