Question

Вычислить $intlimits^3_1 {(x-2)^{2}} , dx$

Answer 1

$large \ int_{1}^{3}(x-2)^2mathrm{dx}=int_{1}^{3}(x-2)^2mathrm{d(x-2)}={(x-2)^3over3}|_{1}^{3}={(3-2)^3over3}-{(1-2)^3over3}={1over3}-{(-1)over3}={2over3}$