SOLUTION: find upper and lower bounds for the value of int((xln(x))^2)dx on [1,3]

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Question 1117609: find upper and lower bounds for the value of int((xln(x))^2)dx on [1,3]
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%28x%2Aln%28x%29%29%5E2
Over the interval [1,3], the minimum value of the function occurs at x=1,
f%281%29=%281%2Aln%281%29%29%5E2=0
and the maximum value occurs at x=3,
f%283%29=%283%2Aln%283%29%29%5E2=9%2Aln%283%29%5E2
So,
f%281%29%2A%283-1%29%3C=int%28f%28x%29%2Cdx%2Cx=1%2C3%29%3C=9%2Aln%283%29%5E2%2A%283-1%29
0%3C=int%28f%28x%29%2Cdx%2Cx=1%2C3%29%3C=18%2Aln%283%29%5E2