积分∫xdx/(1-x^2)^2=多少?∫xdx/(1-x^2)^2^2是平方

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/28 18:26:45
积分∫xdx/(1-x^2)^2=多少?∫xdx/(1-x^2)^2^2是平方
x){|ӎG+R*5 u+4l.tD{t8g3?ݹٴ6IEtK/HjťF֚ ,i$ 0Ԯ@QVlhb TmRAWć+M@S S d:C\/.H̳yr2

积分∫xdx/(1-x^2)^2=多少?∫xdx/(1-x^2)^2^2是平方
积分∫xdx/(1-x^2)^2=多少?
∫xdx/(1-x^2)^2
^2是平方

积分∫xdx/(1-x^2)^2=多少?∫xdx/(1-x^2)^2^2是平方
∫xdx/(1-x²)²
=∫xdx/(1-x)²(1+x)²
=¼∫[1/(1-x)² - 1/(1+x)²]dx
=¼[1/(1-x) + 1/(1+x)] + C
= 1/[2(1-x²)] + C