I need help solving the following problem. Could someone please help me and explain how to work the equation. Thanks in advance.

Question

[intergral x sqrt3x dx

I hope this makes sense

Answer 1

∫x√(3x) dx
= √3 ∫x√x dx
= √3 ∫ x^(3/2) dx
= √3 2/5 x^(5/2)
= 2/5 √3 x^2 √x
= 2/5 x^2 √(3x)