A) 41
B) 41.5
C) 41.75
D) 42
Correct Answer: D
Solution :
\[\int_{1}^{5}{{{x}^{2}}dx}\] \[=\frac{4}{4}\left[ \frac{1}{2}f(1)+f(2)=f(3)+f(4)+\frac{1}{2}f(5) \right]\] \[=\left[ \frac{1}{2}+4+9+16+\frac{25}{2} \right]=42\][using\[f(x)={{x}^{2}}\]]
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