A) 3
B) 2
C) 1
D) 0
Correct Answer: D
Solution :
\[I=\int_{\,1}^{\,3}{(x-1)(x-2)(x-3)dx}\]. \[I=\int_{\,1}^{\,3}{({{x}^{3}}-6{{x}^{2}}+11x-6)\,dx=\left[ \frac{{{x}^{4}}}{4}-\frac{6{{x}^{3}}}{3}+\frac{11{{x}^{2}}}{2}-6x \right]_{\,1}^{\,3}=0.}\]
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