In calculus and mathematical analysis the limits of integration (or bounds of integration) of the integral

of a Riemann integrable function defined on a closed and bounded interval are the real numbers is called the lower limit the upper limit. The region that is bounded.

.

Integration by Substitution (U-Substitution)

In Integration by substitution, the limits of integration.

.

The same applies for other substitutions.

Improper integrals

Limits of integration can also be defined for improper integrals again being a and b. For an improper integral the limits of integration are a and ∞, or ∞ and b, respectively.

Definite Integrals

, then

See also

• Integral

• Riemann integration

• Definite integral

References