Question

How do you solve, ∫1/1+√x dx with substitution?

Answer 1

How do you solve, ∫1/(1+√x) dx with substitution?

Answer 2

set u = 1 + sqrtx

then solve for du

Answer 3

you'll get something like:

u = 1 + sqrtx
du = 1/2(sqrtx) dx
2du = 1/sqrtx dx

and then you can plug u in and exchange dx for 2du, and it becomes a much simpler indefinite integral