微积分 广义积分求解见图

2024-11-25 21:17:09
推荐回答(1个)
回答1:

∫dx/(x(1+x^2)) = 0.5 ∫1/(x^2(1+x^2) dx^2 =
0.5 ∫1/x^2 -1/(1+x^2) dx^2
=0.5 ln(x^2)-0.5 ln(1+x^2)|1,无穷大
=0.5 ln (x^2/(1+x^2) |1,无穷大
=0.5 (0-ln(1/2)) = 0.5 ln2