求不定积分∫arctan xdx
问题描述:
求不定积分∫arctan xdx
答
1/1-x^2
答
∫arctan xdx=x*arctan x+∫x/(1+x²)dx=x*arctan x-1/2*ln(1+x²)+C
求不定积分∫arctan xdx
1/1-x^2
∫arctan xdx=x*arctan x+∫x/(1+x²)dx=x*arctan x-1/2*ln(1+x²)+C