# Approximating definite integrals... using series.

by Wee Sleeket
Tags: approximating, definite, integrals, series
 P: 4 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 indefinite integrals. Any ideas?