Definite Integration Question 85
Question: The value of $ \int _{a}^{b}{\frac{x}{|x|}dx,a<b<0} $ is
[Orissa JEE 2003]
Options:
A) $ -(|a|+|b|) $
B) $ |b|-|a| $
C) $ |a|-|b| $
D) $ |a|+|b| $
Show Answer
Answer:
Correct Answer: B
Solution:
$ \int_a^{b}{\frac{x}{|x|}dx=-}\int_a^{b}{dx} $ , ( $ \because a<b<0 $ ) $ =-(b-a)=|b|-|a| $ .