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.