Задача 31616 [m]\int \frac{\sqrt[11]{x^8}}{x^2}[/m] ...

di777

2018-12-05 22:18:26

[m]\int \frac{\sqrt[11]{x^8}}{x^2}[/m]

sova

2018-12-05 22:55:28

★

=∫ x^((8/11)-2)dx=∫ x^(-14/11)dx=x^((-14/11)+1)/((-14/11)+1) + C=

=x^(-3/11)/(-3/11) + C = -11/(3x^(3/11)) + C