<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2 20190208//EN"
  "https://jats.nlm.nih.gov/publishing/1.2/JATS-journalpublishing1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink"
         xmlns:mml="http://www.w3.org/1998/Math/MathML"
         article-type="research-article"
         dtd-version="1.2">

  <!-- ============================================================ FRONT -->
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">IJLTEMAS</journal-id>
      <journal-title-group>
        <journal-title>International Journal of Latest Technology in Engineering, Management &amp; Applied Science (IJLTEMAS)</journal-title>
        <abbrev-journal-title abbrev-type="publisher">IJLTEMAS</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="epub">2278-2540</issn>
      <publisher>
        <publisher-name>IJLTEMAS</publisher-name>
      </publisher>
    </journal-meta>

    <article-meta>
      <!-- IDs -->
      <article-id pub-id-type="publisher-id">625</article-id>
            <article-id pub-id-type="doi">10.51583/IJLTEMAS.2026.151000106</article-id>
      
      <!-- Categories -->
            <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Applied Science</subject>
        </subj-group>
      </article-categories>
      
      <!-- Title -->
      <title-group>
        <article-title>Evaluation of Some Special Integrals by Decomposition Method</article-title>
      </title-group>

      <!-- Authors -->
      <contrib-group>
                <contrib contrib-type="author">
                    <name>
            <surname>B.P.Kumar</surname>
            <given-names>B.P.Kumar</given-names>
          </name>
                              <aff>
            Principal,Arsha College,Arsha,Dist-Purulia,West Bengal,India                        <country>India</country>
                      </aff>
                    
        </contrib>
              </contrib-group>

      <!-- Volume / Issue / Pages -->
            <volume>15</volume>
                  <issue>10</issue>
                        <fpage>1318</fpage>
            <lpage>1323</lpage>
            
      <!-- Dates -->
      <history>
                <date date-type="received">
          <day>24</day>
          <month>10</month>
          <year>2026</year>
        </date>
                        <date date-type="accepted">
          <day>29</day>
          <month>10</month>
          <year>2026</year>
        </date>
              </history>

            <pub-date pub-type="epub">
        <day>14</day>
        <month>11</month>
        <year>2026</year>
      </pub-date>
      
      <!-- DOI Self-URI -->
            <self-uri xlink:href="https://doi.org/10.51583/IJLTEMAS.2026.151000106"/>
      
      <!-- Keywords -->
            <kwd-group kwd-group-type="author">
                <kwd>Linear equations</kwd>
                <kwd>convergent series</kwd>
                <kwd>asymptotic decomposition</kwd>
              </kwd-group>
      
    </article-meta>
  </front>

  <!-- ============================================================ BODY (Abstract) -->
  <body>
        <sec>
      <title>Abstract</title>
      <p>With the appliance of decomposition method evaluation of some integrals not expressible in the form of elementary functions nor adequately tabulated is performed in this paper.With the application of Ramanujan’ s integral formula Laplace transform  of the integrand of  β-function is calculated conforming the known result.In this paper, various examples are taken to evaluate the integral using the method of asymptotic decomposition.</p>
    </sec>
      </body>

  <!-- ============================================================ BACK (References) -->
    <back>
    <ref-list>
      <title>References</title>
            <ref id="ref1">
        <label>1</label>
        <mixed-citation>Adomian G and R.Rach,Analytic Solution of Non-linear Boundary Value Problems in Several Dimensions,Jr. Math. Anal. Appl. 173(1),pp.118-137(1993).</mixed-citation>
      </ref>
            <ref id="ref2">
        <label>2</label>
        <mixed-citation>G.Adomian,Non-linear Stochastic Systems Theory and Applications to Physics,Kluwer(1989).</mixed-citation>
      </ref>
            <ref id="ref3">
        <label>3</label>
        <mixed-citation>G.Adomian, A Review of the Decomposition Method and Some Recent Results for Non-linear Equations,computers Math. Applic. 21(5),pp.101-127(1991).</mixed-citation>
      </ref>
            <ref id="ref4">
        <label>4</label>
        <mixed-citation>B.K.Datta,The Approximate Evaluation of Certain Integrals,ComputersMath.Applic.25(7),pp.47-49(1993).</mixed-citation>
      </ref>
            <ref id="ref5">
        <label>5</label>
        <mixed-citation>Y.Cherruault,Convergence of Adomian’s method,Kybernetes 18(2), pp. 31-39(1989).</mixed-citation>
      </ref>
            <ref id="ref6">
        <label>6</label>
        <mixed-citation>Y.Cherruault, Some New Results for Convergence of Adomian’s Method Applied to Integral Equations,Mathl. Comput. Modelling 16(2),pp.85-93(1992).</mixed-citation>
      </ref>
            <ref id="ref7">
        <label>7</label>
        <mixed-citation>S.Ramanujan, Note Book of S.Ramanujan,Vol. 1,T.I.F.R.,Bombay pp. 54(1957)  .</mixed-citation>
      </ref>
            <ref id="ref8">
        <label>8</label>
        <mixed-citation>K.Haldar and B.K.Datta,Integrations by Asymptotic Decomposition,Appl. Math. Lect.Vol. 9,No.52,pp.81-83(1996).</mixed-citation>
      </ref>
          </ref-list>
  </back>
  
</article>
