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Definite Integration question

2025 · 23 Jan · Shift 1 · Q36

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PYQ Library
JEE Main
Mathematics
Definite Integration
2025 · 23 Jan · Shift 1 · Q36

Definite Integration question

2025 · 23 Jan · Shift 1 · Q36

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

\int_{e^2}^{e^4} \frac{1}{x}\left(\frac{e^{\left(\left(\log _e x\right)^2+1\right)^{-1}}}{e^{\left(\left(\log _e x\right)^2+1\right)^{-1}}+e^{\left(\left(6-\log _e x\right)^2+1\right)^{-1}}}\right) d x

is

A
1
B
$\log_e2$
C
$e^2$
D
2

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