Evaluate the indefinite integral as a series:
Here is what I did:
So, what do I do now? Since I differentiated to get , do I just need to integrate it now and then multiply back in? Did I miss anything ?
Hint: you know the power series for the given log function, just write that in. then divide it through by t. then integrate term by term. well, that's not really a hint, that's how to do the problem
by the way, your power series for the log is incorrect, you wrote the power series for 1/(1 - t) ...which is NOT the integral of ln(1 - t), by the way