# calculus

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integrate x*(x+1)^9dx

I believe the substitution method is the proper way?

• calculus -

Yes, substituion will work.
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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