POWERFUL Integration Technique!! - Feynman's Trick: Ideas and Examples | Gaussian Integral
Do you want to learn a very powerful integration technique for computing difficult integrals? Do you want to learn a very cool trick for evaluating the Gaussian integral?
This video introduces the key idea of Feynman's trick, and computes two difficult integrals that are vey difficult or even impossible to integrate by means of the traditional methods such as integration by parts and substitution.
Feynman's trick, also knows as Feynman's technique of integration, or differentiation under the integral sign, is one of the most powerful and useful integration techniques in calculus and physics.
Feynman’s trick is often applied to integrals with a single variable; the idea's
is to artificially introduce a second variable and then build a differential equation in terms of derivatives with respect to the new variable. Solving this differential equation often allows us to compute the original integral.
This video consists of three parts:
1) The key idea of Feynman's trick 0:00:00
2) Integration of int_0^1 (x^3-1)/ln(x) dx via Feynman's trick 0:01:48
3) Gaussian integral via Feynman's trick 0:06:26
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