why my result do not calculate limit value

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pando
pando 2020-4-24
评论： darova 2020-4-24
clc;
clear;
syms x t w X
x=2*exp(-4*t)*cos(10*t);
X=int(x*exp(-j*w*t),t,0,inf)
I want to find X value but its result is always
(2*limit(exp(- 4*t - t*w*1i)*(10*sin(10*t) - cos(10*t)*(4 + w*1i)), t, Inf))/((4 + w*1i)^2 + 100) + (2*(4 + w*1i))/((4 + w*1i)^2 + 100)
how can I calculate that limit value?

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