Answer
$\int(z^{-\frac{4}{5}} -z^\frac{2}{3}+z^\frac{5}{4}dz= 5z^{\frac{1}{5}} -\frac{3}{5}z^{\frac{5}{3}}+\frac{4}{9}z^{\frac{9}{4}} +C$
Work Step by Step
$\int(z^{-\frac{4}{5}} -z^\frac{2}{3}+z^\frac{5}{4}dz= \frac{1}{\frac{1}{5}}z^{\frac{1}{5}}-\frac{1}{\frac{5}{3}}z^{\frac{5}{3}}+\frac{1}{\frac{9}{4}}z^{\frac{9}{4}}+C = 5z^{\frac{1}{5}} -\frac{3}{5}z^{\frac{5}{3}}+\frac{4}{9}z^{\frac{9}{4}} +C$
