- #1
transgalactic
- 1,395
- 0
i added a link with my question and how i tried to solve it
int the link
http://img141.imageshack.us/my.php?image=img8212eq4.jpg
int the link
http://img141.imageshack.us/my.php?image=img8212eq4.jpg
An improper integral is an integral where either the upper or lower limit of integration is infinite, or the function being integrated is undefined at one or more points in the interval of integration.
An improper integral differs from a regular integral in that it involves one or more infinite limits of integration or an undefined function within the interval of integration. This requires special techniques and considerations when evaluating the integral.
Some common types of improper integrals include integrals with infinite limits of integration, integrals with discontinuous functions within the interval of integration, and integrals with integrands that approach infinity at one or more points in the interval of integration.
The evaluation of an improper integral involves breaking it up into smaller integrals, evaluating each one separately, and then taking the limit as the endpoints approach infinity (or the undefined point) to determine the overall value of the integral.
Improper integrals have various applications in physics, engineering, and economics. For example, they can be used to calculate the total mass or volume of an object with varying density, the total work done by a varying force, or the total profit or revenue generated by a company with changing sales rates.