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[define,exp,integrate,plot2d]

Run Example
(%i1)mu:0.03;
(%o1)                                0.03
(%i2) x:100;
(%o2)                                 100
(%i3) t:10;
(%o3)                                 10
(%i4) define(F(s), (mu+s*x)/s^2);
                                     100 s + 0.03
(%o4)                        F(s) := ------------
                                           2
                                          s
(%i5) int: integrate(F(s)*exp(s*t),s);
(%o5) 0.3 gamma_incomplete(- 1, - 10 s) - 100 gamma_incomplete(0, - 10 s)
(%i6) define(G(s),F(s)*exp(s*t));
                                                  10 s
                                 (100 s + 0.03) %e
(%o6)                    G(s) := ---------------------
                                           2
                                          s
(%i7) G(10*%i);
                                               100 %i
                            (1000 %i + 0.03) %e
(%o7)                     - -------------------------
                                       100
(%i8) plot2d(F(s)*exp(s*t), [s,-10,10]);
plotplot2d(F(s)*exp(s*t), [s,-10,10]);
Run Example
mu:0.03;
(%o1)                                0.03
(%i2) x:100;
(%o2)                                 100
(%i3) t:10;
(%o3)                                 10
(%i4) define(F(s), (mu+s*x)/s^2);
                                     100 s + 0.03
(%o4)                        F(s) := ------------
                                           2
                                          s
(%i5) int: integrate(F(s)*exp(s*t),s);
(%o5) 0.3 gamma_incomplete(- 1, - 10 s) - 100 gamma_incomplete(0, - 10 s)
(%i6) plot2d(F(s), [s,-100,100]);
plotplot2d(F(s), [s,-100,100]);
Run Example
mu:1.03;
(%o1)                                1.03
(%i2) x:10;
(%o2)                                 10
(%i3) T:1;
(%o3)                                  1
(%i4) define(F(s), exp(s*T)*(mu+s*x)/(s^2));
                                                   s
                                   (10 s + 1.03) %e
(%o4)                      F(s) := -----------------
                                           2
                                          s
(%i5) int: integrate(F(s),s);
(%o5)    1.03 gamma_incomplete(- 1, - s) - 10 gamma_incomplete(0, - s)
(%i6) plot2d(int,[s,-10,10]);
plotplot2d(int,[s,-10,10]);
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