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define-exp-integrate

define(x(s),-sigma^2*...

define(y(s),-eta^2*rh...

define(z(s),-eta^2*(1...

Calculate

define-exp-integrate-plot3d
plot3d(f(x,y),[x,-10,10],[y,-10,10]);

define(f(x,y),integra...

plot3d(f(x,y),[x,-10,...

Calculate

define-exp-integrate-plot3d
plot3d(f(x,y),[x,-10,10],[y,-10,10]);

define(f(x,y),integra...

plot3d(f(x,y),[x,-10,...

Calculate

define-exp-integrate-sqrt

define(g(s,t),sigma*e...

integrate(g(s,u),u,s,t);

Calculate

define-exp-integrate-taylor

f(x):=x*exp(x-3)-2;

define(g(x),integrate...

g(1)-g(0);

Calculate

define-exp-integrate-sqrt

define(g(s,t),sigma*e...

integrate(g(s,u),u,s,t);

Calculate

define-exp-integrate

define(f(x,y),integra...

Calculate

[define,exp,integrate]

Run Example
(%i1)define(inner(t),exp(-k*t)*(v0+integrate(k*exp(k*s),s,0,t)));
                                                  k t
                                 - k t          %e      1
(%o1)              inner(t) := %e      (v0 + k (----- - -))
                                                  k     k
(%i2) 
Run Example
f(x):=exp(x);
(%o1)                           f(x) := exp(x)
(%i2) define(g(x),integrate(f(x),x,0,x)/x);
                                          x
                                        %e  - 1
(%o2)                           g(x) := -------
                                           x
(%i3) 
Run Example
f(x):=exp(2*x)*(1-x)+1;
(%o1)                    f(x) := exp(2 x) (1 - x) + 1
(%i2) define(F(x),integrate(f(x),x));
                                           2 x     2 x
                               (2 x - 1) %e      %e
(%o2)                F(x) := - --------------- + ----- + x
                                      4            2
(%i3) I=F(1)-F(-3);
                                   2       - 6
                                 %e    9 %e
(%o3)                        I = --- - ------- + 4
                                  4       4
(%i4) 

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