I was wondering how to approximate definite integrals to within a specific accuracy. For example, how would I go about approximating the integral from 0 to 1 of sin(x^3) dx to within an accuracy of 0.001? I think I'm supposed to use the remainder estimate for the integral test, but I'm confused because that seems to apply to(adsbygoogle = window.adsbygoogle || []).push({}); indefinite integrals. Any ideas?

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# Approximating definite integrals... using series.

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