早教吧作业答案频道 -->其他-->
求不定积分∫x^2+1/(x^2-1)(x+1)dx答案是1/2ln(x^2-1)+1/求不定积分∫x^2+1/(x^2-1)(x+1)dx答案是1/2ln(x^2-1)+1/(x+1)步骤:原式=∫(x^2+x-x+1)/(x^2-1)(x+1)dx=∫x(x+1)/(x^2-1)(x+1)dx-∫(x-1)/(x^2-1)(x+1)dx=∫x/(x^2-1)dx-
题目详情
求不定积分 ∫x^2+1/(x^2-1)(x+1)dx 答案是 1/2ln(x^2-1)+1/
求不定积分
∫x^2+1/(x^2-1)(x+1)dx
答案是
1/2ln(x^2-1)+1/(x+1)
步骤 :原式=∫(x^2+x-x+1)/(x^2-1)(x+1)dx
=∫x(x+1)/(x^2-1)(x+1)dx-∫(x-1)/(x^2-1)(x+1)dx
=∫x/(x^2-1)dx-∫1/(x+1)^2dx
=1/2ln(x^2-1)+1/(x+1)
我想问ln里面x^2-1不加绝对值么??
求不定积分
∫x^2+1/(x^2-1)(x+1)dx
答案是
1/2ln(x^2-1)+1/(x+1)
步骤 :原式=∫(x^2+x-x+1)/(x^2-1)(x+1)dx
=∫x(x+1)/(x^2-1)(x+1)dx-∫(x-1)/(x^2-1)(x+1)dx
=∫x/(x^2-1)dx-∫1/(x+1)^2dx
=1/2ln(x^2-1)+1/(x+1)
我想问ln里面x^2-1不加绝对值么??
▼优质解答
答案和解析
要加的
看了求不定积分∫x^2+1/(x^...的网友还看了以下: