y=∛x
0=∛x
x=0
(0;8) S (∛x) dx = (0;8) S (x^1/3 ) dx = ( x^4/3 / 4/3 ) | (0;8) =
=3x^4/3 / 4 | (0;8) = 3*8^(4/3) / 4 - 3*0^(4/3) /4=
=3*2^(3*4/3) / 4 - 0 = 3*2^4 / 4= 3*16/4 = 3*4=12
![S = \int\limits^8_0 {\sqrt[3]{x}} \, dx =0,75x^\frac{4}{3} |_0^8=0,75*16=12](/tpl/images/0921/7287/d8b8f.png)
