How would I solve this problem using power series?
Integral of [ln(1-t)]/t dt? I know that if I find the power series for [ln(1-t)]/t, then I could integrate each term separately and then that would be the solution, but how do I find the power series for such an expression? I know that the derivative of ln(x) is 1/x and the integral of 1/x is ln(x), and it seems like that would somehow apply in this problem, but I'm not sure how. Help please?
Thanks.