求不定积分f x/(1+x^2)dx
问题描述:
求不定积分f x/(1+x^2)dx
答
f x/(1+x^2)dx=(1/2)*∫1/(1+x²)dx²
=(1/2)*∫1/(1+x²)d(x²+1)
=(1/2)*ln(x²+1)+C(C为常数)