1⼀(x*(4-x))^(1⼀2) dx 求不定积分

2024-12-13 05:02:01
推荐回答(2个)
回答1:

∫1/(x*(4-x))^(1/2) dx =∫1/(4-(x-2)^2)^(1/2) d(x -2)
=∫1/(1-((x-2)/2)^2)^(1/2) d((x -2)/2)
=arcsin((x -2)/2)+C

回答2: