Find a Bound on the Error in Approximating the Integral $\int _ { 1 } ^ { 9 } \ln x ^ { 9 }$

question 65

Short Answer

Find a bound on the error in approximating the integral $\int _ { 1 } ^ { 9 } \ln x ^ { 9 }$ using (a) the Trapezoidal Rule and (b) Simpson's Rule with $n = 10$ subintervals.

---

Definitions:

Infrequent

Occurring or happening rarely or at wide intervals.

Extraordinary Item

An unusual or infrequent event that is not part of the normal activities of a business and must be reported separately in the financial statements.

Discontinued Operations

Parts of a company's core business or subsidiaries that have been sold, disposed of, or abandoned and are reported separately from continuing operations in financial statements.

Comparative Income Statement

A financial statement that presents the revenues, expenses, and net income for multiple periods to assess a company's financial performance over time.