what 's the integration of
f(x) = exp(i*k*x)*cos(a*x^2)
from x=-L to x=+L. thanks.
j******m 发帖数: 70
2
1/4*Pi^(1/2)*exp(1/4*I*i^2*k^2/a)/(-I*a)^(1/2)*erf((-I*a)^(1/2)*x-1/2*i*k/(-
I*a)^(1/2))+1/4*Pi^(1/2)*exp(-1/4*I*i^2*k^2/a)/(a*I)^(1/2)*erf((a*I)^(1/2)*x
-1/2*i*k/(a*I)^(1/2))
evaluated at x=L minus at x=-L
H****h 发帖数: 1037
3
怀疑不能积分。因为有x^2在里头。i是虚数单位吗?那exp相当于又一个三角函数。
【在 w**a 的大作中提到】 : what 's the integration of : f(x) = exp(i*k*x)*cos(a*x^2) : from x=-L to x=+L. thanks.