Chapter 5.10, Problem 3ES

Given that $\ln a=2$ and $\ln c=5$ , find

(a) ${\displaystyle {\int }_1^{ac}\frac{1}{t}dt}$

(b) ${\displaystyle {\int }_1^{1/c}\frac{1}{t}dt}$

(c) ${\displaystyle {\int }_1^{a/c}\frac{1}{t}dt}$

(d) ${\displaystyle {\int }_1^{a^3}\frac{1}{t}dt}$ .