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Math Help - Taylor Expansions

  1. #1
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    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
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  2. #2
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    Quote Originally Posted by geode View Post
    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.
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