# A Calculus Problem

Calculus Level 4

Let

$I_{1}=\displaystyle \int^{\frac{\pi}{4}}_{0} e^{x^{2}}.dx$

$I_{2}=\displaystyle \int^{\frac{\pi}{4}}_{0} e^{x}.dx$

$I_{3}=\displaystyle \int^{\frac{\pi}{4}}_{0} e^{x^{2}}cosx.dx$

$I_{4}=\displaystyle \int^{\frac{\pi}{4}}_{0} e^{x^{2}}sinx.dx$

then which of the following is correct

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