∫（5x+1）/（x^2+1）dx 用直接积分法如何求.
问题描述：
∫（5x+1）/（x^2+1）dx 用直接积分法如何求.
答
∫（5x+1）/（x^2+1）dx
=∫（5x）/（x^2+1）dx+∫1/（x^2+1）dx
=5/2∫1/(1+x²)d(1+x²)+arctanx
=5/2ln(1+x²)+arctanx+c能再问个问题么，，采纳后求助哦