渭南师范学院学报Issue(14)：30-33,4.
几类可用倒代换求其不定积分的函数
Several Kinds of Available Back Substitution for Function of the Indefinite Integral
摘要
Abstract
The current textbooks and documents only got the indefinite integrals such as∫ a2 -x2x4 dx,∫dx x 4 -x2 and∫dx x4 (1 +x2 ) based on the back substitution. However, there is no further study and even no general consequence. The features of the integrand offers the applicability of the application of back substitution for its integral. Then several types available for the recip-rocal substitution function integral are given, including the integrand such as 1 x(a +bxα) , 1 xn (1 +x2 ) , 1 xα+1 ( a +bxα) , 1 xα+1 1 +x2αand 1 (1 +xn ) n+1n . Some conclusions were obtained.关键词
倒代换/积分法/不定积分Key words
back substitution/integration method/indefinite integral分类
社会科学引用本文复制引用
薛利敏..几类可用倒代换求其不定积分的函数[J].渭南师范学院学报,2015,(14):30-33,4.基金项目
渭南师范学院教育教学改革研究项目:高等数学精品教材建设的研究与实践( JG201314) （ JG201314）
陕西省(数学)扶持学科建设资助项目 （数学）
