高等数学定积分的题,要详细过程,谢谢2008-10题

2025-05-14 03:43:23
推荐回答(1个)
回答1:

∫[1:2][1/(x²+x)]dx
=∫[1:2][1/x -1/(x+1)]dx

=ln|x/(x+1)||[1:2]
=ln|2/(2+1)|-ln|1/(1+1)|
=(ln2-ln3)-(ln1-ln2)
=2ln2-ln3