## Quick Reference

The process of continuously summing changes in a function f(*x*). It is the basis of the integral calculus and the opposite process to differentiation. The function to be integrated is called the **integrand** and the result of integration on the integrand is called the **integral**. For example, the integration of f(*x*) is written ∫f(*x*)d*x*, the differential d*x* being added to indicate that f(*x*) must be integrated with respect to *x*. To complete the integration, a **constant of integration**, *C*, must be added where no interval over which the integration takes place is given. This is called an **indefinite integral**. If the interval is specified, e.g.∫*a**b*f(*x*)d*x*,no constant of integration is required and the result is called a **definite integral**. This means that f(*x*) is to be integrated between the values *x* = *a* and *x* = *b* to give a definite value.

**From:**
integration
in
A Dictionary of Physics »

*Subjects:*
Mathematics.