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GATE Mechanical 2024 | Question: 32

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If the value of the double integral
\[
\int_{x=3}^{4} \int_{y=1}^{2} \frac{d y d x}{(x+y)^{2}}
\]
is $\log _{e}(a / 24)$, then $a$ is __________ (answer in integer).
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