Chapter 4: Applications of Derivatives - Section 4.7 - Antiderivatives - Exercises 4.7 - Page 238: 5

a) $-\dfrac{1}{x}+C$ b) $-\dfrac{5}{x}+C$ c) $2x+\dfrac{5}{x}+C$

a) The anti-derivative is: Thus, $(\dfrac{x^{-2+1}}{-2+1})+C=-\dfrac{1}{x}+C$ b) The anti-derivative is: Thus, $5(-\dfrac{1}{x}+C)=(-\dfrac{5}{x})+C$ c) The anti-derivative is: Thus, $[2x-(\dfrac{-5}{x}+C)]=2x+(\dfrac{5}{x})+C$