Question

\[ \mathcal{L} \{ erfc(\sqrt t) \}\]
\[ =\mathcal{L} \{ {2\over√π}\int_{√t}^∞e^{-u^2}du \}\]
\[ = {2\over√π} \int_0^∞[ \int_{√t}^∞e^{-u^2}du] e^{-st}dt\]
\[ = {2\over√π} \int_0^∞[ \int_{0}^{u^2}e^{-st}dt] e^{-u^2}du\]
\[ = {2\over√π} \int_0^∞ {e^{-st}\over-p} {|}^{u^2}_0 e^{-u^2}du\]
\[ = {2\over√π} \int_0^∞ {1-e^{-u^{2}s}\over p} e^{-u^2}du\]

Answer 1

am i doing this right?