- #1

- 5

- 0

## Homework Statement

Use power series to estimate [tex] \int_0^1 \cos(x^2)dx [/tex] with an error no greater than 0.005

## Homework Equations

Lagrange Error Formula [tex] \frac{f^{(n+1)}}{(n+1)!}(x-a)^{(n+1)} [/tex]

## The Attempt at a Solution

My original attempt was to find the series for [tex] \cos(x^2) [/tex], integrate it, and then subtract the functions to find where the error is less than or equal to .005. However since actually integrating [tex] \int\cos(x^2)dx [/tex] is very difficult and it's ridiculously slow to graph I am now thinking about using the Lagrange error formula. I'm not exactly sure how that would work though.