1. Integration

I am doing integration and I just want to see if these are right before I continue to the next step:
intergrator
x^(-0.3)dx=1.42857x^0.7
(1/x^2 -1/x^3)dx=1-2x/2x^2
(x^(1/3)-3x^(-2/3)+6)dx=3/4∛x(x+8x^(2/3)+3)

Thanks!

2. use $\int x^{n} dx = \frac{x^{n+1}}{n+1}+c$

therefore

$\int \frac{1}{x^2}- \frac{1}{x^2} dx = \int x^{-2}- x^{-3} dx = \frac{x^{-1}}{-1}-\frac{x^{-2}}{-2}+c$