Calculate an antiderivative for each of the following functions.
(a) f(x)=sec(x)(tan(x)-sec(x))+(3x⁴+5)/(x²)+eˣ
(b) g(z)=pi/z+sin(z)+z⁽³/⁵⁾-24z⁵
(c) h(t)=cos(t)+3sec²(t)