计算要过程∫(2x+1)/(x^2+4x+3)dx
问题描述:
计算要过程∫(2x+1)/(x^2+4x+3)dx
答
∫(2x+1)/(x^2+4x+3)dx
=∫(2x+1)/[(x+3)(x+1)]dx
=(5/2)∫1/(x+3)dx-(1/2)∫1/(x+1)dx
=(5/2)ln|x+3|-(1/2)ln|x+1|+C