(9t^2)(ln(t))dt at points 1 to e

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- Feb 23rd 2010, 01:03 PMdorrisstroy20integration by parts to evaluate the definite integral
(9t^2)(ln(t))dt at points 1 to e

- Feb 23rd 2010, 01:07 PMicemanfan
Choose and .

Then and .

Thus, calculate:

- Feb 23rd 2010, 01:14 PMdorrisstroy20
first thanks for your response and second I got that far but I am having trouble evaluating it at the points from 1 to e

- Feb 23rd 2010, 01:23 PMe^(i*pi)
- Feb 23rd 2010, 01:24 PMicemanfan
So then, you calculated

.

Hence

,

by the Fundamental Theorem of Calculus. Just simplify that expression. - Feb 23rd 2010, 01:33 PMdorrisstroy20
Thank you so much