Height = 2x+2 , hypotenuse = ((2x+2)²+3²)^1/2  so  base = 3

If we convert in terms of tan, above expression = = y (substitution)

tany = (2x+2)/3

dx = (3/2)sec²y.dy

so integral becomes

Do it by parts you'll get

Back substitute y to get the final result.

 Edit : I forgot to add the constant of integration.