Integral Calculus

Integral calculus is a branch of mathematics focused on the concept of integration, which involves finding the accumulated area under a curve represented by a function over a specified interval. It contrasts with differential calculus, which deals with rates of change and slopes of curves. The Fundamental Theorem of Calculus links these two branches, showing that differentiation and integration are inversely related processes. Integral calculus has applications in various fields, including physics, engineering, and economics, allowing for the calculation of quantities like area, volume, and displacement. Techniques such as substitution, integration by parts, and numerical methods play crucial roles in solving integrals.