題組內容

 7.

(b) (8 points) Suppose that $f(0) = 0$ and

$$f'(\ln x) = \begin{cases} 1, & \text{if } 0 < x \leq 1; \\ x, & \text{if } 1 < x < \infty. \end{cases}$$

Find $f(x)$ | | | | | |