Question

Integrate 2/x√lnx

Answer 1

hint: let u = ln(x), so du/dx = 1/x which means du = dx/x

Answer 2

also, \[\Large \sqrt{x} = x^{1/2}\]

Answer 3

So would the answer be 4(lnx)^1/2+c?

Answer 4

you are correct

Answer 5

that's the same as \[\Large 4\sqrt{\ln(x)} + C\]

Answer 6

Thank you!

Answer 7

you're welcome