Question
Question: The area of the region {(x, y) : x<sup>2</sup>£ y £ \|x\|} is –...
The area of the region {(x, y) : x2£ y £ |x|} is –
A
1/3 sq. units
B
1/2 sq. units
C
1/4 sq. units
D
None of these
Answer
1/3 sq. units
Explanation
Solution
Hence, the required region R is the shaded region shown in figure. Since both the curves are symmetrical about y-axis. So, required area = 2(Shaded area in first quadrant)
= 2∫01(x−x2)dx=2×61=31sq. units.