Question

find the antiderivative for each function when c equals 0.
a. ( f(x)=\frac{1}{x} ) b. ( g(x)=\frac{8}{x} ) c. ( h(x)=5-\frac{8}{x} )
a. the antiderivative of ( \frac{1}{x} ) is (use parentheses to clearly denote the argument of each function.)

Explanation:

Step1: Recall the antiderivative formula

The antiderivative of \(\frac{1}{x}\) is \(\ln|x|\) (since the derivative of \(\ln|x|\) is \(\frac{1}{x}\) for \(x
eq0\)) and we are given \(C = 0\).

Answer:

\(\ln|x|\)