(x乘以e的x次幂)/(x+1)的平方的不定積分

(x乘以e的x次幂)/(x+1)的平方的不定積分

∫xe^x/(x + 1)²;dx=∫[(x + 1)- 1]e^x/(x + 1)²;dx=∫e^x/(x + 1)dx -∫e^x/(x + 1)²;dx=∫e^x/(x + 1)dx -∫e^x d[- 1/(x + 1)]=∫e^x/(x + 1)dx + e^x/(x + 1)-∫1/(x + 1)d…