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Application of Integration

Section: Mathematics
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Question : 5 of 28
 
Marks: +1, -0
Consider the functions f,g:ℝ→ℝ defined by
f(x)=x2+‌
5
12
 and
g(x)={
2(1−‌
4x|
3
)		‌|x|≤‌
3
4
0‌|x|>‌
3
4
.

If α is the area of the region
{(x,y)∈ℝ×ℝ:|x|≤‌
3
4
,0≤y≤min{f(x),g(x)}}
then the value of 9α is
[JEE Adv 2022 P2]
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