﻿<?xml version="1.0" encoding="UTF-8"?>
<records>
  <record>
    <language>eng</language>
    <publisher>Science and Education Publishing</publisher>
    <journalTitle>Turkish Journal of Analysis and Number Theory</journalTitle>
    <publicationDate>2014-06-26</publicationDate>
    <volume>2</volume>
    <issue>3</issue>
    <startPage>75</startPage>
    <endPage>79</endPage>
    <doi>10.12691/tjant-2-3-4</doi>
    <publisherRecordId>TJANT2014234</publisherRecordId>
    <documentType>article</documentType>
    <title language="eng">Using Area Mean Value Theorem to Solve Some Double Integrals</title>
    <authors>
      <author>
        <name>Chii-Huei Yu</name>
        <email>chiihuei@nju.edu.tw</email>
        <affiliationId>1</affiliationId>
      </author>
      <author>
        <name>Shinn-Der Sheu</name>
        <affiliationId>2</affiliationId>
      </author>
    </authors>
    <affiliationsList>
      <affiliationName affiliationId="1">Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan</affiliationName>
      <affiliationName affiliationId="2">Department of Information Technology, Nan Jeon University of Science and Technology, Tainan City, Taiwan</affiliationName>
    </affiliationsList>
    <abstract language="eng">The present paper studies six types of double integrals and uses Maple for verification. These double integrals can be solved using area mean value theorem. On the other hand, some examples are used to demonstrate the calculations.</abstract>
    <fullTextUrl format="pdf">http://pubs.sciepub.com/tjant/2/3/4/tjant-2-3-4.pdf</fullTextUrl>
    <keywords language="eng">
      <keyword>double integrals</keyword>
      <keyword>area mean value theorem</keyword>
      <keyword>Maple</keyword>
    </keywords>
  </record>
</records>