Definite Integration Question 138

Question: What is the area of the region enclosed by $ ~y=2| x | $ and $ y=4 $ -

Options:

A) 2 square unit

B) 4 square unit

C) 8 square unit

D) 16 square unit

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Required Area = $ 2\int\limits _{y=0}^{4}{\frac{y}{2}dy=. \frac{y^{2}}{2} |_0^{4}=\frac{16}{2}=8} $ sq. unit. or Area $ =2\times 4=8 $ sq. unit.