A Study on Different Approaches For Solving Definite Integrals
B. Kalins1, A. Jayapradha2
1B. Kalins, Assistant Professor, Department of Science and Humanities, Sri Krishna College of Engineering and Technology, Coimbatore (Tamil Nadu), India.
2A. Jayapradha, Assistant Professor, Department of Science and Humanities, Sri Krishna College of Engineering and Technology, Coimbatore (Tamil Nadu), India.
Manuscript received on 27 March 2019 | Revised Manuscript received on 06 April 2019 | Manuscript Published on 27 April 2019 | PP: 736-738 | Volume-7 Issue-6S2 April 2019 | Retrieval Number: F11250476S219/2019©BEIESP
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Abstract: This paper studies different approaches of solving definite integrals. Contour integration is used in integral transforms which is used to solve differential equations. Cauchy’s residue theorem is a consequence of Cauchy’s integral formula where f is an analytic function and C is the simple closed contour enclosing the point a over the positive orientation. Fourier transform is a mathematical tool frequently used in a number of technical fields, as diverse as applied mechanics, image and sound analysis and solving partial differential equations. The Fourier transform is used to introduce the relationship between the signal waveform and the signal frequency. It is a generalization of the Fourier series by changing the sum to an integral. The Fourier transform translates between convolution and multiplication of functions. Applying the transform techniques and methodology of contour integration, the solution of evaluating has been discussed. and Roman Numbering (I, II, III…etc), Before Spacing 12, After Spacing 6, with single line spacing. All Sub Heading must be in Title Case, Left 0.25 cm, Italic, and Alphabet Numbering (A, B, C…etc), Before Spacing 6, After Spacing 4, with Single Line Spacing. Manuscript Details must be in Font Size 8, in the Bottom, First Page, and Left Side with Single Line Spacing. References must be in Font Size 8, Hanging 0.25 with single line spacing. Author Profile must be in Font Size 8, with single line spacing. Fore more details, please download TEMPLATE HELP FILE from the website.
Keywords: Contour Integral, Residues, Definite Integrals.
Scope of the Article: Social Sciences