Section 3
Integrals
By Boundless
An antiderivative is a differentiable function
![Thumbnail](../../../../../../figures.boundless-cdn.com/17885/raw/integral-approximations.jpg)
Defined integrals are used in many practical situations that require distance, area, and volume calculations.
![Thumbnail](../../../../../../figures.boundless-cdn.com/17852/raw/integral-example.jpg)
A definite integral is the area of the region in the
![Thumbnail](../../../../../../figures.boundless-cdn.com/17851/raw/ftc-geometric.jpg)
The fundamental theorem of calculus is a theorem that links the concept of the derivative of a function to the concept of the integral.
![Thumbnail](../../../../../../figures.boundless-cdn.com/17867/square/slope-field.jpg)
An indefinite integral is defined as
![Thumbnail](../../../../../../figures.boundless-cdn.com/17853/raw/integral-example.jpg)
Integration by substitution is an important tool for mathematicians used to find integrals and antiderivatives.
![Thumbnail](../../../../../../figures.boundless-cdn.com/17856/square/periodic-sine.jpg)
A transcendental function is a function that is not algebraic.
![Thumbnail](../../../../../../figures.boundless-cdn.com/18480/raw/integration-rectangle.jpg)
Numerical integration is a method of approximating the value of a definite integral.