I believe the substitution method is the proper way?
Let x+1 = u x = (u-1) dx = du S x*(x+1)^9 dx = S (u-1)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
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