Question

J^5dx/(x-4)^4 Вычислить

Answer 1

$intlimits^5_0 {frac{5, dx}{(x-4)^4}} , dx = 5intlimits^5_0 {(x-4)^{-4}} , dx = 5frac{(x-4)^{-3}}{-3} |_0^5=\\=-frac{5}{3}(1-(-4)^{-3})=-frac{5}{3}(1+frac{1}{4^3})=-frac{5}{3}cdot frac{65}{64}=-frac{325}{192}$