Question

Вычислите Интеграл пж срочно

Answer 1

$intlimits^0_1 { frac{5}{4} x^{ frac{1}{4}} } , dx = frac{5}{4} *frac{4}{5}x^ {frac{5}{4} }|_0^1=1-0=1$

Answer 2

$int { x^{n} } dx = frac{x^{n+1}}{n+1}+C \ \ intlimits^1_0 frac{5}{4} {x^{ frac{1}{4} }} , dx = frac{5}{4} * frac{x^{5/4}}{ frac{5}{4} } = (ot 0 do 1) \ = frac{5}{4} * frac{4}{5} * x^{5/4} = (ot 0 do 1) = 1 ^ {5/4} - 0 ^ {5/4} = 1-0 =1$