Q.
Consider the functions f,g:R→R defined by
f(x)=x2+512 and g(x)={2(1−4|x|3),|x|≤34,0,|x|>34.
If α is the area of the region
{(x,y)∈R×R:|x|≤34,0≤y≤min{f(x),g(x)}},
then the value of 9α is _____
JEE AdvancedJEE Advanced 2022
Solution: