Tabular integration
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- Опубликовано: 9 фев 2025
- Tabular integration
Here is the DI method or tabular integration for calculating integrals of power functions SUPER quickly, this is guaranteed to save you time on your calculus exam! Here we use it to calculate the laplace transform of t^3 and more generally of polynomials, which is a useful tool to solve differential equations
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I don’t know about tabular integration but this is the DI method of bprp
DI method is basicly just an algorithm for repeated integration by parts.
Very well
5:33 Can N be negative, fractional or irrational, so we would need the gamma function instead of the factorial?
Yeah
But if N is negative integer Gamma does not help
In this context N is any positive integer
The definition of the Gamma function is already pretty similar to these integrals- in fact, L{t^n}=Γ(n+1) for s=1 by definition. The method he’s using here, however, requires the table to be finite, which means that n has to be a positive integer in this case.
Can u make videos about inverse laplace transform and inverse z transform and examples of direct calculation of those inverses?
Should it not be negative 6 over s to the power of 4?
The example was not well-chosen... this integral could be done much faster by substituting u = st and then using the Gamma function.
But then you would need to prove that the gamma function actually gives the factorial, so it would be circular reasoning
@@drpeyam Good point. :) Ok, I change my comment to: "An easier example would have been to prove that the Gamma function produces the factorial for positive integers." ;)
Mr peyam. Looks tiny.
ruclips.net/video/rKQt0O66D0I/видео.htmlsi=_-U83xAGdRjJPrMP kindly explain with your style sir. I di dn understand.