Integration Process

Definition

The integration process involves finding an antiderivative (or indefinite integral) of a function to determine its integral. It allows us to find areas, volumes, and solve various problems in calculus.

Related terms

Antiderivative:

Also known as an indefinite integral, it is essentially "undoing" differentiation. Finding an antiderivative allows us to find any particular solution for which we only know its derivative.

Riemann Sum:

An approximation method for calculating definite integrals by dividing an interval into smaller subintervals and summing up areas of rectangles within each subinterval.

Integration Techniques:

Various methods such as substitution, integration by parts, or partial fractions used to evaluate integrals when direct application of the fundamental theorem of calculus is not possible.