Area of the region bounded by the curve \( y=e^{x^{2}} \) and the line \( y=e \) is....

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Area of the region bounded by the curve \( y=e^{x^{2}} \)
\( \mathrm{P} \)
and the line \( y=e \) is
W
(1) \( 2 \int_{1}^{e} \sqrt{\log _{e} y} d y \)
(2) \( 2 e-\int_{-1}^{1} e^{x^{2}} d x \)
(3) \( \int_{-1}^{1}\left(e-e^{x^{2}}\right) d x \)
(4) \( \quad 2 \int_{0}^{1} \sqrt{x} e^{x} d x \)
.


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