Don't Overcomplicate this problem.

Calculus Level 4

\[\large I_{1} = \displaystyle \int_{0}^{x} e^{zx}e^{-z^2}dz \qquad \qquad I_{2} = \displaystyle \int_{0}^{x} e^{\frac{-z^2}{4}} dz\]

For \(I_1\) and \(I_2\) as defined above, which of the following is true?