SOLUTION: Find the integral of x(x + 1)^5dx

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Question 1141106: Find the integral of x(x + 1)^5dx
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution,
u=x%2B1
x=u-1
So,
int%28x%281%2Bx%29%5E5%2Cdx%29=int%28%28u-1%29u%5E5%2Cdu%29
int%28x%281%2Bx%29%5E5%2Cdx%29=int%28%28u%5E6-u%5E5%29%2Cdu%29
int%28x%281%2Bx%29%5E5%2Cdx%29=u%5E7%2F7-u%5E6%2F6%2BC
int%28x%281%2Bx%29%5E5%2Cdx%29=%28x%2B1%29%5E7%2F7-%28x%2B1%29%5E6%2F6%2BC
Now simplify.