∫ (dx)/(x + 3) sqrt (ln(x + 3))

Question

∫ (dx)/(x + 3) sqrt (ln(x + 3))

Answer 1

U=x+3,du=dx
∫dx/(x+3)√(ln(x+3))=∫du/√lnu=∫dv/√v=2√v=2√ln(x+3)+C
v=lnu,dv=du/u