The area of the region bounded by and is
sq units
Explanation for correct option
Finding the area of the region bounded by the two equations
Step-1 Redefining the curve:
When ,
When ,
Step-2 enclosed area calculations:
The area by the second equation in 1st quadrant is given by,
Now, we have to subtract the area enclosed by right-angled triangle to get the area enclosed by the curve in the first quadrant.
Now, an area in each quadrant will be the same. So, the total area in all the four quadrants is given by,
Hence, the correct answer is option (B).