e.g. the value of \( I=\int_{0}^{1} e^{\sqrt{e^{x}}} d x+2 \int_{e}^{e^{\sqrt{e}}} \ln (\ln x) d...

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e.g. the value of \( I=\int_{0}^{1} e^{\sqrt{e^{x}}} d x+2 \int_{e}^{e^{\sqrt{e}}} \ln (\ln x) d x \)
(a) \( \sqrt{e} \)
(b) \( e^{\sqrt{e}} \)
(c) \( e \)
(d) \( e \sqrt{e} \)
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