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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 $\color{#D61F06} a$ 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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