question_answer

What is the area of the region enclosed by \[~y=2\left| x \right|\] and\[y=4\]?

A) 2 square unit

B) 4 square unit

C) 8 square unit

D) 16 square unit

Correct Answer: C

Solution :

[c] Required Area = \[2\int\limits_{y=0}^{4}{\frac{y}{2}dy=\left. \frac{{{y}^{2}}}{2} \right|_{0}^{4}=\frac{16}{2}=8}\] sq. unit. or Area \[=2\times 4=8\] sq. unit.