MATLAB Code Implementation for Numerical Integration

This MATLAB function provides robust capabilities for numerical integration, utilizing adaptive algorithms like Gauss-Kronrod quadrature for precise evaluation of complex functions. The implementation supports both definite integrals (with specified bounds) and indefinite integrals through symbolic computation capabilities when using the Symbolic Math Toolbox. For multivariable integration, the function can be extended using nested integral calls or MATLAB's integral2/integral3 functions for double and triple integrals. Key functions include: - integral(): Adaptive numerical integration using global adaptive quadrature - quadgk(): Gauss-Kronrod quadrature for improper integrals - int(): Symbolic integration for analytical solutions The implementation handles various integration scenarios including oscillatory functions, singularities, and infinite limits through appropriate method selection and tolerance control. Additional mathematical functions available in MATLAB complement this integration capability, providing a comprehensive toolkit for solving differential equations, optimization problems, and complex mathematical modeling. This makes MATLAB particularly valuable for mathematicians, engineers, and researchers requiring accurate numerical computations with reduced error probability and increased productivity in mathematical problem-solving workflows.