Question

решите пж интеграл!!!!!!!!!!​

Answer 1

$displaystyle intlimits^{4}_{0} {x cdot dfrac{1}{36}left(frac{x^{3}}{2} + 1 right) } , dx = intlimits^{4}_{0} {left(frac{x^{4}}{72} + frac{x}{36} right)}, dx = left(frac{x^{5}}{360} + dfrac{x^{2}}{72} right) bigg |^{4}_{0} =\= frac{4^{5}}{360} + dfrac{4^{2}}{72} - left(frac{0^{5}}{360} + dfrac{0^{2}}{72} right) = frac{1024}{360} + dfrac{16}{72} = dfrac{1024 + 80}{360} = frac{1104}{360} = 3dfrac{1}{15}$