what is the value of sinx/x wen integrated between zero and infinity?i want the procedure?

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what is the value of sinx/x wen integrated between zero and infinity?i want the procedure?

2006-11-09 02:00:42 · 3 answers · asked by Red Falcon 1 in Science & Mathematics ➔ Mathematics

3 answers

This integral is done in most introductory texts in complex analysis/complex variables. It involves computing a contour integral over aarge semi-circle.

2006-11-09 03:08:22 · answer #1 · answered by mathematician 7 · 0⤊ 1⤋

This is usually done with contour integrals and complex integration...the result is pi/2, but the details would be messy...research contour integration or complex integration or the Sine function or the sinc function

Steve

2006-11-09 10:11:30 · answer #2 · answered by Anonymous · 0⤊ 0⤋

Well, the limit as x approaches infinity of sinx/x is 1. Is it even possible to integrate to infinity?!?

2006-11-09 10:12:12 · answer #3 · answered by Darlene K 1 · 0⤊ 2⤋