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+//Example 7.3

+//Find the laplace transform and Roc of the following signal

+clc;

+close;

+syms t;

+a=3;b1=-8;

+ x1=exp(-a*t);

+b=6;c=7;

+s=b+c*%i;

+X1=integrate((exp(-(a+s)*t)),'t',0,%inf);

+x2=exp(-2*t);

+X2=integrate((exp(-(b1+s)*t)),'t',-%inf,0);

+disp(X1);

+ disp(X2);

+X=X1+X2;disp(X);

+disp(real(s));

+disp('Since -a< real(s)>-b1,so the integral converges');