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Question

Question: \(\int _ { - 1 } ^ { 1 } | 1 - x | d x =\)...

111xdx=\int _ { - 1 } ^ { 1 } | 1 - x | d x =

A

– 2

B

0

C

2

D

4

Answer

2

Explanation

Solution

111xdx=11(1x)dx=[xx22]11=2\int _ { - 1 } ^ { 1 } | 1 - x | d x = \int _ { - 1 } ^ { 1 } ( 1 - x ) d x = \left[ x - \frac { x ^ { 2 } } { 2 } \right] _ { - 1 } ^ { 1 } = 2.