calculus
posted by Shannon .
integrate x*(x+1)^9dx
I believe the substitution method is the proper way?

Yes, substituion will work.
Let x+1 = u
x = (u1)
dx = du
S x*(x+1)^9 dx = S (u1)u^9 du
= S u^10 du  S u^9 du
= (u^11)/11  (u^10)/10
= [(x+1)^11]/11  [(x+1)^10]/10