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{{Template:Math-h}}

{{Math-h}}

A '''definite integral''' is an [[integral]] with upper and lower limits.

A '''definite integral''' is an [[integral]] with upper and lower limits.

Solving a definite integral usually has two main steps: [[integration]] and [[subtraction]].

Solving a definite integral usually has two main steps: [[integration]] and [[subtraction]].

Sometimes approximations, such as the [[Riemann Integral]] or [[Simpson's rule]] are used. These approximations are used when:

Sometimes approximations, such as the Riemann Integral or [[Simpson's rule]] are used. These approximations are used when:

*The exact answer is not needed, only a close approximation. (Common in [[Engineering]])

*The exact answer is not needed, only a close approximation. (Common in [[Engineering]])

*The rule for integration is very complex. (Such as <math>\int e^{x^2}\,dx</math>)

*The rule for integration is very complex. (Such as <math>\int e^{x^2}\,dx</math>)

* <math>ln|6|</math> becomes positive because it was <math>-(-ln|6|)</math>

* <math>ln|6|</math> becomes positive because it was <math>-(-ln|6|)</math>

== See Also ==

== See also ==

*[[Integral]]

*[[Integral]]

*[[Indefinite integral]]

*[[Indefinite integral]]

[[category:calculus]]

[[Category:Calculus]]

[[Category:integration]]

[[Category:Integration]]