[latex] intlimits^0_1 , dx /{(6x-1)^4} [/latex]

[latex] intlimits^0_1 , dx /{(6x-1)^4} = intlimits^0_1 , (6x-1)^{-4}dx = frac{1}{6} intlimits^0_1 , (6x-1)^{-4}d(6x-1)= \ = frac{1}{6} frac{(6x-1)^{-3}}{-3}|^0_1 = - frac{1}{18} frac{1}{(6x-1)^3}|^0_1 = - frac{1}{18}( frac{1}{(6*0-1)^3}- frac{1}{(6*1-1)^3})= \ =- frac{1}{18}( frac{1}{(-1)^3}- frac{1}{5^3})= - frac{1}{18}( -1 - frac{1}{125})= - frac{1}{18}*( - frac{126}{125})= frac{126}{2250} = frac{7}{125} [/latex]