# Math Help - Taylor Expansions

1. ## Taylor Expansions

Here's geode with another problem:

Use a Taylor series to find a numerical series that converges to the integral from 0 to 1 of ln(x+1)dx.

I don't seem to understand what the question is asking for or where to begin.

Thanks

2. Originally Posted by geode
Here's geode with another problem:

Use a Taylor series to find a numerical series that converges to the integral from 0 to 1 of ln(x+1)dx.

I don't seem to understand what the question is asking for or where to begin.

Thanks
$\int_0^1 \ln (x+1) dx$

$\int_0^1 x - \frac{x^2}{2}+ \frac{x^3}{3}-... dx$

Now integrate term-by-term.