We just learnt the different types of integration techniques in school such as substitution, by parts, etc. But, these methods seem kind of laborious. Do professional mathematics and theoretical physicists use these techniques itself or do they use more faster methods ? I would like to know these methods.
Integration Techniques
3
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calculus
integration
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0so professionals use CAS only. They don't integrate manually ? Or do they use contour integration and other advanced stuff. Is it easier to integrate normal functions using contour integration ? – 2012-12-18
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0Are you teaching, trying to make some theoretical point, or just for plain fun? You try to integrate manually. Do you *need* to know some integral for research, job, life-&-death, etc. matters? You may try some of the numerous books with thousands of solved integrals there, or try some computer-based program (WA, Mathematica,Maple and etc.). – 2012-12-18
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0Well, I want to know, since, I'm planning to take up something math related as a career. – 2012-12-18