A) 15/2
B) 17/4
C) 21/2
D) 15/4
Correct Answer: A
Solution :
The shaded region represents the required area in the figure. Required area \[=\int\limits_{0}^{3}{[({{x}^{2}}+2)-(x+1)]dx=\int\limits_{0}^{3}{({{x}^{2}}-x+1)}dx}\] \[=\left[ \frac{{{x}^{3}}}{3}-\frac{{{x}^{2}}}{2}+x \right]_{0}^{3}=9-\frac{9}{2}+3=\frac{15}{2}sq.\]unitsYou need to login to perform this action.
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