∫﹙2x²-3x﹚/﹙x+1﹚dx

问题描述:

∫﹙2x²-3x﹚/﹙x+1﹚dx

∫﹙2x²-3x﹚/﹙x+1﹚dx
=∫[2x+5-5/﹙x+1﹚]dx
=x²+5x-5ln(x+1)+c

∫﹙2x²-3x﹚/﹙x+1﹚dx
=∫[2x-5x/﹙x+1﹚]dx
=∫[2x-5-5/﹙x+1﹚]dx
=x^2-5x-5ln(x+1)+C

∫(2x²-3x)/(x+1)dx
=∫[2x(x+1)-5(x+1)+5]/(x+1)dx
=∫ [2x-5+5/(x+1)] dx
=x²-5x+5ln(x+1)+C