Abstract: Following the preceding paper(Ref.[I]),an improved method is presented for calculating the integrals in electron-atom colllisions by transforming the integration contours into complex plane.This method can calculate the integrals accurately not only for cases like Ref[I],but also for the case of"nearly degenerate"which cannot be calculated by methods given in Ref[I].The caleulational accuracies have been compared and checked to be very high.

Key words: complex plane, integrals, oscillatory wavefuncrions