The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 11 Issue 3
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- Pages.189-196
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- 2004
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
EVALUATIONS OF THE IMPROPER INTEGRALS ${\int}_0^{\infty}$ [sin$^{2m}({\alpha}x)]/(x^{2n})dx$ AND ${\int}_0^{\infty}$ [sin$^{2m+1}({\alpha}x)]/(x^{2n+1})dx$
- Qi, Feng (Department of Applied Mathematics and Informatics, Research Institute of Applied Mathematics, Henan Polytechnoc University) ;
- Luo, Qiu-Ming (Department of Mathematcis, Jiaozuo University) ;
- Guo, Bai-Ni (Department of Applied Mathematics, and Informatics, Research Institute of Applied Mathematics, Henan Polytechnic University)
- Published : 2004.08.01
Abstract
In this article, using the L'Hospital rule, mathematical induction, the trigonometric power formulae and integration by parts, some integral formulae for the improper integrals
Keywords
- evaluation;
- improper integral;
- integral formula;
- inequality;
- integration by parts;
- L′Hospital rule;
- mathematical induction