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## Homework Statement

The question in the book is: "Use the sum of the first 10 terms to approximate the sum of the series. Estimate the error.

My problem is estimating the error I'm looking for. I just need help with finding the integral.

## Homework Equations

((sin n)^2)/(n^3)

## The Attempt at a Solution

∞∫n ((sin n)^2)/(n^3)

u = ((sin n)^2) du = 2 ((sin n)^2)cos n dv = n^3 dx v = 1/4 x^4

This is as far as I got.