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Area Under the Curves question

2025 · 23 Jan · Shift 2 · Q33

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PYQ Library
JEE Main
Mathematics
Area Under the Curves
2025 · 23 Jan · Shift 2 · Q33

Area Under the Curves question

2025 · 23 Jan · Shift 2 · Q33

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1

If the area of the region

\left\{(x, y):-1 \leq x \leq 1,0 \leq y \leq \mathrm{a}+\mathrm{e}^{|x|}-\mathrm{e}^{-x}, \mathrm{a}\gt 0\right\}

is

\frac{\mathrm{e}^2+8 \mathrm{e}+1}{\mathrm{e}}

, then the value of

a

is :

A
7
B
5
C
6
D
8

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