Question

ПОМОГИТЕ ПОЖАЛУЙСТА!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

$Formyla:\; \; \int x^{n}\, dx=\frac{x^{n+1}}{n+1}+C\\\\\\\int \frac{1}{2}\sqrt[3]{x}\, dx=\frac{1}{2}\int x^{\frac{1}{3}}\, dx=\frac{1}{2}\cdot \frac{x^{\frac{4}{3}}}{\frac{4}{3}}+C=\frac{3}{8}\sqrt[3]{x^4}+C\\\\\int \frac{5}{6}x^{-\frac{2}{5}}\, dx=\frac{5}{6}\cdot \frac{x^{\frac{3}{5}}}{\frac{3}{5}}+C=\frac{25}{18}\sqrt[5]{x^3}+C\\\\\int \sqrt[3]{x^4}\, dx=\int x^{\frac{4}{3}}\, dx=\frac{x^{\frac{7}{3}}}{\frac{7}{3}}}+C=\frac{3}{7}\sqrt[3]{x^7}+C$