Definite Integration Question 423

Question: $ \int _{-1}^{1}{|1-x|dx}= $

[Karnataka CET 2004]

Options:

A) - 2

B) 0

C) 2

D) 4

Show Answer

Answer:

Correct Answer: C

Solution:

$ \int _{-1}^{1}{|1-x|}dx=\int _{-1}^{1}{(1-x)dx}=[ x-\frac{x^{2}}{2} ] _{-1}^{1}=2 $ .