Please give only hints, no full solutions :)(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Use series to approximate the definite integral to within the indicated accuracy:

[itex]\int_0^{0.1} \frac{dx}{\sqrt{1 + x^3}}[/itex], [itex]|\text{error}| < 10^{-8}[/itex]

2. Relevant equations

Taylor series and Maclaurin series

3. The attempt at a solution

This doesn't seem to match or bear resemblance to any of the "famous" ones which can easily be expressed with series [itex]e^x, \sin{x}, \cos{x}[/itex], and I tried taking seven derivatives, but this is awfully annoying. Are there any other methods?

Thanks.

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# Approximate an integral using Taylor/Maclaurin series

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