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GRE (3)

Calculus Level 2

\[{\Large \int_{e}^{a^e}} \frac{dx}{\displaystyle x \int_{a}^{ax}\frac{dy}{y}} =1\]

What positive value of \(\color{red} a\) satisfies the equation above?

\[\sqrt{e}\] \[e^2\] \[e^{\frac{1}{e}}\] \[\frac{1}{e}\] \[e\]

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by Hana Wehbi

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