SOLUTION: determine whether the integral from 1 to 9 for the function 1/cuberoot(x-9)dx is divergent or convergent. Evaluate if convergent.

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Question 754056: determine whether the integral from 1 to 9 for the function 1/cuberoot(x-9)dx is divergent or convergent. Evaluate if convergent.
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
determine whether the integral from 1 to 9 for the function 1/cuberoot(x-9)dx is divergent or convergent. Evaluate if convergent. 

int%28+%281%2Froot%283%2Cx-9%29%29%2C+dx%2C+1%2C+9+%29%22%22=%22%22int%28+%28x-9%29%5E%28-1%2F3%29%2C+dx%2C+1%2C+9+%29%22%22=%22%22matrix%283%2C1%2C%22%22%2Clim%2C%22b-%3E9%22%29int%28+%28x-9%29%5E%28-1%2F3%29%2C+dx%2C+1%2C+b+%29%22%22=%22%22matrix%283%2C1%2C%22%22%2Clim%2C%22b-%3E9%22%29%22%22=%22%22
matrix%283%2C1%2C%22%22%2Clim%2C%22b-%3E9%22%29%22%22=%22%22matrix%283%2C1%2C%22%22%2Clim%2C%22b-%3E9%22%29%22%22=%22%22

matrix%283%2C1%2C%22%22%2Clim%2C%22b-%3E9%22%29%22%22=%22%22matrix%283%2C1%2C%22%22%2Clim%2C%22b-%3E9%22%29%22%22=%22%22%22%22=%22%220-6%22%22=%22%22-6 

Convergent with value -6

Edwin