Question

If $a<b<0$, then ${\int }_a^b\frac{|x|}{x}dx=$

• A. $a-b$
• B. $b-a$
• C. $a+b$
• D. $0$

Answer 1

The correct option is A $a-b$

Given that $a<b<0$

${\int }_a^b\frac{|x|}{x}dx=(\frac{-x}{x}{)}_a^b=(-1{)}_a^b=-b-(-a)$

$=a-b$