# Approximate an integral using Taylor/Maclaurin series

Please give only hints, no full solutions :)

## Homework Statement

Use series to approximate the definite integral to within the indicated accuracy:
$\int_0^{0.1} \frac{dx}{\sqrt{1 + x^3}}$, $|\text{error}| < 10^{-8}$

## Homework Equations

Taylor series and Maclaurin series

## 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 $e^x, \sin{x}, \cos{x}$, and I tried taking seven derivatives, but this is awfully annoying. Are there any other methods?

Thanks.

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