大一数学微积分,求ln(x+(x^2+1)1⼀2)的不定积分,要过程

2025-01-19 14:35:33
推荐回答(1个)
回答1:

∫ln(x+√(x²+1))dx=xln(x+√(x²+1))-∫xdln(x+√(x²+1))
=xln(x+√(x²+1))-∫x/√(x²+1)dx
=xln(x+√(x²+1))-√(x²+1)+C