Answer
a) $-\dfrac{1}{x}+C$
b) $-\dfrac{5}{x}+C$
c) $2x+\dfrac{5}{x}+C$
Work Step by Step
a) The anti-derivative is:
$\dfrac{x^{-2+1}}{-2+1}+C=-\dfrac{1}{x}+C$
b) The anti-derivative is:
$5(-\dfrac{1}{x}+C)=-\dfrac{5}{x}+C$
c) The anti-derivative is:
$2x-(\dfrac{-5}{x}+C)=2x+\dfrac{5}{x}+C$
