Question

integrate the function (x + 1)(x + logx)²/x.dx

Answer 1

HELLO DEAR

given function is $\bold{\int{(x + 1)(x + logx)^2/x}\,dx}$

let (x + logx) = t $\bold{dt/dx = 1 + 1/x}$
$\bold{dx = xdt/(1 + x)}$

so, $\bold{\int{(x + 1)(x + logx)^2/x }*xdt/(1 + x)}$

$\bold{\int{t^2}\,dt}$

$\bold{t^3/3 + c}$


I HOPE ITS HELP YOU DEAR,
THANKS