Adaptive Quadrature

Adaptive Quadrature is a numerical method used to estimate the area under a curve, which represents a mathematical function. Unlike standard quadrature methods that divide the area into equal segments, adaptive quadrature adjusts the segment sizes based on the function's behavior. If the curve has steep slopes or many changes, it uses more subdivisions in those areas to improve accuracy. This approach allows it to allocate more resources where needed while using fewer for simpler parts, leading to efficient and precise calculations of integrals. It's particularly useful in complex functions where traditional methods may struggle.