Integral of Wiener process $\int_{0}^t e^{\lambda u } dZ_u$

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I am not quite sure how to solve this integral to be able to plot it and do numerical calculations with it. $\lambda$ is a known constant, $u$ is time, and $Z_u$ is a wiener process. Can anyone provide some direction on how to solve it please?

$f = \int_{0}^t e^{\lambda u } dZ_u$