Vol. 51 No. 3 (2013): SCHOOL SCIENCE
Articles

DANGER OF IMPROPER USE OF MATHEMATICAL RESULTS, FORMULAS AND SYMBOLS : INTEGRALS (CALCULUS)

Published 2013-09-30

Keywords

  • Fundamental Theorem of Integral Calculus,
  • The theory of integration,
  • Square Root

How to Cite

Das, S. (2013). DANGER OF IMPROPER USE OF MATHEMATICAL RESULTS, FORMULAS AND SYMBOLS : INTEGRALS (CALCULUS). SCHOOL SCIENCE, 51(3), p.40-46. http://14.139.250.109:8090/index.php/SS/article/view/2010

Abstract

The theory of integration is well-known to all mathematicians. Students are also familiar with different results of integration. But this topic is also a subject of serious study like other topics in calculus, which have been explained in a series of articles by the author (1, 2). Students use different standard results of integration in solving a problem without examining their validity. An application of different techniques in finding the integral of a function sometimes gives different results for which students do not find any explanation. Like the previous articles by the same author (1, 2, 3, 4, 5), it will be shown here, with a series of examples, how different results of integration can be obtained due to the lack of knowledge about a theorem and validity of mathematical formulas, etc.