Contour Integration #1 - Integrating 1/(x^2 + 1) - LearnMathsFree
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9 سال پیش
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In this video, we look at an example of using the technique of contour integration to evaluate a definite integral. This example is a somewhat redundant one, given that it can be evaluated using more elementary methods (e.g. trig substitution), but it's important to study the simpler examples before moving on to the harder ones. We introduce our contour C, and use the estimation lemma together with the residue theorem to evaluate the integral of 1/(x^2 + 1) over [0, infinity]. More to follow.
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Video URL: Contour Integration #1 - Integrating ...
Channel URL: @learnmathsfree
---
In this video, we look at an example of using the technique of contour integration to evaluate a definite integral. This example is a somewhat redundant one, given that it can be evaluated using more elementary methods (e.g. trig substitution), but it's important to study the simpler examples before moving on to the harder ones. We introduce our contour C, and use the estimation lemma together with the residue theorem to evaluate the integral of 1/(x^2 + 1) over [0, infinity]. More to follow.
Like us on Facebook: Facebook: learnmathsfree
Follow us on Twitter: Twitter: LearnMathsFree
Google+: https://plus.google.com/u/0/b/1170336...
Video URL: Contour Integration #1 - Integrating ...
Channel URL: @learnmathsfree
9 سال پیش
در تاریخ 1394/06/26 منتشر شده
است.
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