  We consider the expansion of an integral considered by F.G. Tricomi given by
\[\int_{-\infty}^\infty x e^{-x^2}(\frac{1}{2}+\frac{1}{2}\mbox{erf}\,x)^{m}
dx\] as $m\to\infty$. The procedure involves a suitable change of variable and
the inversion of the complementary error function $\mbox{erfc}\,x$. Numerical
results are presented to demonstrate the accuracy of the expansion.
  A second part examines an extension of an integral arising in airfoil theory.
