Question

integral(xsqrt(x-5)dx

Answer 1

\(x-5 = t^{2} \Rightarrow dx = 2tdt\)
Try this substitution.

Answer 2

idk how that would work i believe this is a parts integral

Answer 3

u=x-5

Answer 4

\(x = 5+t^{2}\)
Substituting this we get \(\int (5+t^{2})t.2tdt = \int (2t^{4} + 10t^{2})dt\)
Can you take it off from here?

Answer 5

yeah thanks man