Question

答案2arctan√x+C,要过程

答案2arctan√x+C,要过程13题

Answer 1

∫dx/[√x .(1+x) ]
let
u=√x
du = dx/(2√x)
dx = 2udu
∫dx/[√x .(1+x) ]
=2∫du/(1+u^2)
=2arctanu + C
=2arctan√x + C