求不定积分麻烦写出过程,(1)∫(x^2 +2)dx/(x+1)^3 (2)∫(1-lnx)dx/(x-lnx)^2

问题描述:

求不定积分麻烦写出过程,(1)∫(x^2 +2)dx/(x+1)^3 (2)∫(1-lnx)dx/(x-lnx)^2

1.∫(x^2 +2)dx/(x+1)^3=∫(1/(x+1))dx-2∫(1/(x+1)^2)dx+3∫(1/(x+1)^3)dx
所以∫(x^2 +2)dx/(x+1)^3=ln(x+1)+2/(x+1)-(3/2)/(x+1)^2
2.x/(x-lnx)
不好意思,2是目测的