A) 1
B) 2
C) 3
D) 5
Correct Answer: C
Solution :
\[\int\limits_{2}^{4}{\{|x-2|+|x-2|\}\,dx}\] |
\[\int\limits_{2}^{3}{\{(x-2)-(x-3)\}dx}+\int\limits_{3}^{4}{\{(x-2)+(x-3)\}dx}\] |
\[=\int\limits_{2}^{3}{dx}+\int\limits_{3}^{4}{(2x-5)dx=\left[ x \right]_{2}^{3}+\left[ \frac{2{{x}^{2}}}{2}-5x \right]_{3}^{4}}\]\[=(3-2)+[(16-20)-(9-15)]=1-4+6=3\] |
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