M MrJank Sep 2017 62 0 Astral Plane Feb 14, 2018 #1 https://gyazo.com/41c1b70dc12d3d2124ceda11eb184f5f Could someone please walk me through exactly how 1/4 turns into 1/12 and how the 3 and -3 appear in the numerators?

https://gyazo.com/41c1b70dc12d3d2124ceda11eb184f5f Could someone please walk me through exactly how 1/4 turns into 1/12 and how the 3 and -3 appear in the numerators?

romsek MHF Helper Nov 2013 6,663 2,999 California Feb 14, 2018 #2 they multiplied top and bottom by 3

romsek MHF Helper Nov 2013 6,663 2,999 California Feb 14, 2018 #4 to make the numerator match the coefficient of $x$ in the denominator so that the form matched the integral template of a $\ln$ function

to make the numerator match the coefficient of $x$ in the denominator so that the form matched the integral template of a $\ln$ function

P Plato MHF Helper Aug 2006 22,469 8,640 Feb 14, 2018 #5 MrJank said: Okay, but why? Click to expand... Do this derivative: ${D_x}\left( {\frac{1}{{12}}\log (2 + 3x)} \right)$

MrJank said: Okay, but why? Click to expand... Do this derivative: ${D_x}\left( {\frac{1}{{12}}\log (2 + 3x)} \right)$