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Area Under the Curves question

2023 · 8 Apr · Shift 2 · Q36

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PYQ Library
JEE Main
Mathematics
Area Under the Curves
2023 · 8 Apr · Shift 2 · Q36

Area Under the Curves question

2023 · 8 Apr · Shift 2 · Q36

JEE MainMathematicsArea Under the CurvesNumerical+4 / −1

Let the area enclosed by the lines

x+y=2, \mathrm{y}=0, x=0

and the curve

f(x)=\min \left\{x^{2}+\frac{3}{4}, 1+[x]\right\}

where

[x]

denotes the greatest integer

\leq x

, be

\mathrm{A}

. Then the value of

12 \mathrm{~A}

is

\underline{\hspace{2cm}}

.

Numerical answer

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