`f(x) = 1/5 - 2/x` Find the most general antiderivative of the function. (Check your answer by differentiation.)
To determine the most general antiderivative of this function, take the integral of it.
`F(x)=int f(x)dx = int(1/5-2/x)dx`
Then, apply the integral formula `int cdu=cu +C` and `int 1/u du=ln|u|+C` .
`=1/5x-2ln|x| + C`
Thus, antiderivative of `f(x) = 1/5-2/x` is `F(x) = 1/5x - 2ln|x| + C` .