Question

Вычислите Интеграл пж срочно

Answer 1

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

Answer 2

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