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Evaluate $\displaystyle \frac{1}{5000}\int_0^{100} t (1.1)^t \mathrm d t$.

What am I doing wrong with tabular integration for this problem?

Im using $t$ for the derivative term (so it ends up as $t\to1\to0)$ and integrating with $(1.1)^t$ so the first term is: $\displaystyle \frac{(1.1)^{t+1}}{t+1}$, and the second is $\displaystyle \frac{(1.1)^{t+2}}{(t+2)(t+1)}$.

Combining terms and solving gives me approximately $3000$ which is wrong.

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    Have you taken care of the $\pm$ signs to the left of the tabular "environment"?2012-12-01

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