Pregunta: Evaluate the iterated integral xye^xy^2 dy dx

Here given integral is ${\int }_0^{\ln 17}{\int }_0^1\mathrm{x}\mathrm{y}{\mathrm{e}}^{\mathrm{x}{\mathrm{y}}^2}\mathrm{d}\mathrm{y}\mathrm{d}\mathrm{x}$ ---------------(1)

Evaluate ${\int }_0^1\mathrm{x}\mathrm{y}{\mathrm{e}}^{\mathrm{x}\left({\mathrm{y}}^2\right)}\mathrm{d}\mathrm{y}$

Since $\mathrm{x}$ is constant with respect to $\mathrm{y}$, move $\mathrm{x}$ out of...