A) \[\frac{9}{2}\]
B) \[\frac{43}{6}\]
C) \[\frac{35}{6}\]
D) none of these
Correct Answer: A
Solution :
Required Area \[=\int_{0}^{3}{({{y}_{1}}-{{y}_{2}})}dx\] \[=\int_{0}^{3}{(2x-{{x}^{2}})-(-x)dx}\] \[=\int_{0}^{3}{(3x-{{x}^{2}})dx}\] \[=\left[ \frac{3{{x}^{2}}}{2}-\frac{{{x}^{3}}}{3} \right]_{0}^{3}\] \[=\frac{27}{2}-9\] \[=\frac{9}{2}\]You need to login to perform this action.
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