Find the antiderivative for each function when C equals $0.$ Check your answers by differentiation.

$($a$)g(x)=-8x^{-9}$

$($b$)h(x)=x^{-9}$

$($c$)k(x)=x^{-9}4x^{3}3$

$($a$)G(x)=$

$($b$)H(x)=$

$($c$)K(x)=$