A New Test Method on the Convergence and Divergence for Infinite Integral
International Journal of Advanced Computer Science and Applications(IJACSA), (2011)Abstract
The way to distinguish convergence or divergence of an infinite integral on non-negative continuous function is the important and difficult question in the mathematical teaching all the time. Using the comparison of integrands to judge some exceptional infinite integrals are hard or even useless. In this paper, we establish the exponential integrating factor of negative function, and present a new method to test based on its exponential integrating factor. These conclusions are convenient and valid additions of the previously known results.