∫e^(k|x|)dx(x从负无穷大到正无穷大)=∫e^kxdx(x从0到正无穷大)+∫e^(-kx)dx(x从负无穷大到0)=[1/ke^kx](x从0到正无穷大)-[1/ke(-kx)](x从负无穷大到0)=1/klime^kx(x趋向于正无穷大)-1/k-[1/k-1/klime^(-kx)(x趋向于负无穷大)]=1k<0时两个极限为0,-2/k=1,k=-2