∫(x+1/x)^2dx=?

问题描述:

∫(x+1/x)^2dx=?

∫ (x+1/x)^2dx
=∫(x^2+2+1/x^2)dx
=∫x^2dx+∫ 2dx+∫dx/x^2
=(1/3)x^3+2x-(1/x)+c.