Integration (original) (raw)

Integration, in simple terms, is a way to add up small pieces to find the total of something, especially when those pieces are changing or not uniform.

It is often called the reverse of differentiation.
Process of finding an integral, which represents the accumulation of small quantities over an interval.

Integration is used to find

Areas under curves
Volumes of solids
Distance from velocity
Total growth or accumulation
Probability in statistics

Basics

Learn the core concepts of integration, including antiderivatives, the Fundamental Theorem of Calculus, and integral functions.

Riemann Sums & Definite Integrals

Understand how integration arises from sums and how definite integrals are evaluated.

Types of Integrals

Explore different types of integrals and their uses in solving accumulation problems.

Methods of Integration

Learn essential formulas and techniques for evaluating integrals efficiently.

Applications

Discover how integration is used to find areas, volumes, and other geometric quantities.

Multivariable & Advanced Integration

Extend integration to multiple variables and vector fields for higher-dimensional problems.

Practice

Test your understanding with quizzes and practice problems on integration..

For Programmers

Practice integration concepts through programming-based implementations and calculations.