∫dx / [x²+2x+2)]

问题描述:

∫dx / [x²+2x+2)]

∫dx / (x²+2x+2)
=∫d(x+1) / (x+1)²+1
=arctan(x+1)+C

∫dx / [x²+2x+2)]
=∫d(x+1) / [1+(x+1)²]
=arctan(x+1)+C