Integration, x^3*sqrt(2-x)

hello, this problem has been annoying me for the past 24 hours, and i cant seem to figure out where to begin,

Evaluate the integral:

(integration sign goes here) (x^3*sqrt(2-x)) dx

ive tried substitution but got nowhere, i attempted integ. by parts, but got confused because my teacher never taught it.

this question is on my final exam review, and it says the answer is:

-(( 16/3) * (2-x)^(3/2) - (24/5) * (2-x)^(5/3) + (12/7) * (2-x)^(7/2) - (2/9)*(2-x)^(9/2)) + C

thank you.