Hi

I have a question to find the Taylor Series for y(x)=ln(1+x) up to and including terms of 0(x^5).

I found that series to be: x - 1/2x^(2) + 1/3x^(3) - 1/4x^(4) + 1/5x^(5)...which may or may not be correct!

The next part of the question asks:

"Use the series to estimate the value of the integral from 1 to 0 of ln(1+x)/3x dx" (I am sorry I don't know how to type the integral sign properly).

How do I deal with the extra x term in the second part of the question ie the /3x. I know to find the integral of the series to integrate each term of the polynomial and then calculate for 1 to 0 however how do I "use the series" being without the extra term to calculate the integral asked for.

Apologies if I am incorrect in anything I have worked out.

Any help would be appreciated.

Kind regards

Beetle