Timeline for answer to What other tricks and techniques can I use in integration? by Alann Rosas
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| Nov 22, 2024 at 6:58 | comment | added | Integreek | An alternative way is to substitute $t=\ln x$ and use $\int e^x\left(f(x)+f'(x)\right)\mathrm dx=e^xf(x)+C$. | |
| Feb 24, 2022 at 3:02 | comment | added | Justin Benfield | This is effectively the equivalent of the standard integration by parts formula, but using the quotient rule instead of the product rule for the derivation. One can prove that in any case where this works, one can equivalently use the standard product rule based version of the integration by parts formula. Similar results hold for triple products and so on. (I did a proof of this on my own time back in High School after figuring out that one could produce an alternative formula to the usual integration by parts by using the quotient rule instead of the product rule). | |
| May 2, 2021 at 15:46 | history | edited | Alann Rosas | CC BY-SA 4.0 |
Better writing
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| May 2, 2021 at 12:17 | comment | added | A-Level Student | Your answer has already been useful: see here: math.stackexchange.com/questions/4123919/… :) | |
| May 1, 2021 at 21:36 | comment | added | A-Level Student | Thank you, I'll remember your advice :) Nice example! | |
| May 1, 2021 at 20:45 | history | edited | Alann Rosas | CC BY-SA 4.0 |
used different wording
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| May 1, 2021 at 5:23 | history | edited | Alann Rosas | CC BY-SA 4.0 |
deleted 18 characters in body
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| Apr 30, 2021 at 21:23 | history | answered | Alann Rosas | CC BY-SA 4.0 |