多项式与满足v ′′=kv的函数乘积的积分

摘要

Discussed the integral of polynomials multiplied by functions with v kv′= satisfied,by using the integration by parts,then gave a simple formula.The formula change some integral to differentiation,make the calculation more simple.%　　利用分部积分法，对n次多项式P n ( x )与满足v′=k v的函数的乘积的积分，给出了一个简便的计算公式，并将其符合要求的积分转化为求导运算，从而使得计算更加简捷。