question_answer

The area of the region(s) enclosed by the curves \[y={{x}^{2}}\] and \[y=\sqrt{|x|}\] is

A)  \[\frac{1}{3}\]

B)                                     \[\frac{2}{3}\]

C)  \[\frac{1}{6}\]         

D)                                     1

Correct Answer: B

Solution :

            \[A=\left( \frac{16ab}{3} \right).2\]             \[a=\frac{1}{4};\,\,\,b=\frac{1}{4}\]             \[A=\frac{2}{3}\]