Consider the Integral $\int _ { 0 } ^ { 05 } \cos \left( x ^ { 3 } \right) d x$

question 114

Short Answer

Consider the integral $\int _ { 0 } ^ { 05 } \cos \left( x ^ { 3 } \right) d x$ Approximating it by the Midpoint Rule with n equal subintervals, give an estimate for n which guarantees that the error is bounded by $\frac { 1 } { 10 ^ { 4 } } .$

---

Definitions:

Uncertainties

Situations or conditions where the outcomes are unpredictable or unknown.

High Performance Team

A high performance team refers to a group of individuals who are highly focused on their goals and achieve superior results through collaboration, commitment, and excellent interpersonal dynamics.

Timely Decisions

The action of making choices or judgments at the right moment to avoid delay and capitalize on effectiveness.

Group Goals

Objectives or targets set by a group that are intended to be achieved collectively.