question_answer

The area (in sq. units) of the region \[A=\{(x,y)\in R\times R|0\le x\le 3,0\le y\le 4,\]\[y\le {{x}^{2}}+3x\}\]is : [JEE Main 8-4-2019 Morning]

A) \[\frac{53}{6}\]                                  

B) \[\frac{59}{6}\]

C) 8                                 

D) \[\frac{26}{3}\]

Correct Answer: B

Solution :

Required Area \[=\int\limits_{0}^{1}{({{x}^{2}}+3x)dx+}\]Area of rectangle PQRS  \[=\frac{11}{6}+8=\frac{59}{6}\]