integral 1/√x (1+√x)^2 dx =

misal :
1 + √x = u
du/dx = (1/2)(1/√x)
(1/√x)dx = 2 du

Int (1 + √x)^2 .(1/√x) dx
= Int u² . 2du
= 2/3 u³ + C
= 2/3 (1 + √x)^3 + C