A) \[|b|-|a|\]
B) \[|b|+|a|\]
C) \[|a-b|\]
D) none of these
Correct Answer: D
Solution :
Given \[\int_{a}^{b}{\frac{|x|}{x}dx,a<0<b}\] \[=\int_{a}^{0}{\frac{|x|}{x}dx+\int_{0}^{b}{\frac{|x|}{x}dx}}\] \[=\int_{a}^{0}{-1dx+\int_{a}^{b}{1\,dx}}\] \[=a+b.\]
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