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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 2, Pages 405-408
doi:10.1155/S0161171294000566

Certain integrals involving logarithmic and exponential functions

M.Aslam Chaudhry and M. Ahmad

Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

Abstract

In this paper we have evaluated the integrals∫0∞xn−1lnxexp(−ax−bx−1)dxand∫0∞xn−2(ax2−b)(lnx)2exp(−ax−bx−1)dxfor all n=1,2,3,…. Some applications of the results are discussed and an open problem is posed.