Power Series/Taylor/MacLaurin

[paulxzt]

Evaluate the integral as a power series. What is the radius of convergence?

1) integral of [ ln(1-t) / t ] dt

Evaluate the indefinite integral as an infinite series

2) integral of [(e^x-1)/x ]dx

Can someone show me how these are done? thank you

 

[royhaas]

Expand the numerators of the integrands first, divide by the denominator, and integrate termwise.