Editing Talk:1201: Integration by Parts
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Symbolic integration ALWAYS require experience and trial-and-error, which is flustrating given that the reverse process - derivation - can be described with simple alghorithm and done mechanically. I heart that derivation is easy as geting toothpaste out of tube and integration is reverse process ... meaning its as hard as puting the toothpaste back into tube. The reason is that there is simple rule for derivation of product, whereas integration of product is usually done by GUESSING the product which will derivate into given integral (which is what integration by parts actually is, only reformulated to sound little easier). -- [[User:Hkmaly|Hkmaly]] ([[User talk:Hkmaly|talk]]) 09:18, 19 April 2013 (UTC) | Symbolic integration ALWAYS require experience and trial-and-error, which is flustrating given that the reverse process - derivation - can be described with simple alghorithm and done mechanically. I heart that derivation is easy as geting toothpaste out of tube and integration is reverse process ... meaning its as hard as puting the toothpaste back into tube. The reason is that there is simple rule for derivation of product, whereas integration of product is usually done by GUESSING the product which will derivate into given integral (which is what integration by parts actually is, only reformulated to sound little easier). -- [[User:Hkmaly|Hkmaly]] ([[User talk:Hkmaly|talk]]) 09:18, 19 April 2013 (UTC) | ||
− | : By using the term ''derivation'', you mean it as the same as the term ''differentiation'', correct? I've never used the term derivation before. I like it, it's shorter. If so, YES, integration of products is WAY harder. 'u' substitutions alone are a pain - having a 'v' substitution as well requires a lot of hard work and trial and error... | + | : By using the term ''derivation'', you mean it as the same as the term ''differentiation'', correct? I've never used the term derivation before. I like it, it's shorter. If so, YES, integration of products is WAY harder. 'u' substitutions alone are a pain - having a 'v' substitution as well requires a lot of hard work and trial and error... |
::Ummm ... the term is shorter but I'm not sure if it's correct, I'm not native english speaker. Wikipedia redirects {{w|Differentiation_(mathematics)|differentiation to derivative}} and there is {{w|Partial_derivative|partial derivative}}, but {{w|Derivation_(abstract_algebra)|derivation}} may have little different meaning in english. What I meant was the process of finding partial derivative (compared to {{w|Symbolic_integration|symbolic integration}}, to have the exact definitions complete ... assuming the wikipedia itself have it correct). -- [[User:Hkmaly|Hkmaly]] ([[User talk:Hkmaly|talk]]) 10:46, 1 May 2013 (UTC) | ::Ummm ... the term is shorter but I'm not sure if it's correct, I'm not native english speaker. Wikipedia redirects {{w|Differentiation_(mathematics)|differentiation to derivative}} and there is {{w|Partial_derivative|partial derivative}}, but {{w|Derivation_(abstract_algebra)|derivation}} may have little different meaning in english. What I meant was the process of finding partial derivative (compared to {{w|Symbolic_integration|symbolic integration}}, to have the exact definitions complete ... assuming the wikipedia itself have it correct). -- [[User:Hkmaly|Hkmaly]] ([[User talk:Hkmaly|talk]]) 10:46, 1 May 2013 (UTC) |