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integrate-numer-plot2d
plot2d( [f,g,h],[x,-3,3]);

f(x):=4-e^(0.5*x)-e^(...

g(x):=(-2/(2.633916)^...

h(x):=-0.005701354619...

Calculate

integrate

integrate (x/(2^.5),x...

Calculate

integrate

integrate(7^x,x,1,2);

Calculate

integrate-log-sqrt

F[x,a,b]:=integrate(x...

Calculate

integrate-log

integrate( 1/log(x), x);

Calculate

integrate-linsolve

eq1:x*4+y-2=y;

eq2:x+2=y;

linsolve([eq1,eq2],[x...

Calculate

integrate

eq1:1/(x-1)=y;

integrate(eq1,[x,y]);

Calculate

integrate

integrate(-x^2/2,x,0,x);

Calculate

integrate-quad_qag

f : 5 / ( 3 * s ^ ( 1...

F : integrate( f , s );

I : quad_qag( f , s ,...

Calculate

integrate-sqrt

integrate(-k*(1-l/sqr...

Calculate

integrate

Run Example
(%i1)plot2d ([cos(x),cos(x)^2,/*sin(x)^2,*/cos(x)-cos(x)^2], [x,0,2*%pi]);
plotplot2d ([cos(x),cos(x)^2,/*sin(x)^2,*/cos(x)-cos(x)^2], [x,0,2*%pi]);i:A*sin(2500*t);
(%o2)                            sin(2500 t) A
(%i3) v:diff(i,t)*L;
(%o3)                        2500 cos(2500 t) A L
(%i4) integrate(v,t);
(%o4)                           sin(2500 t) A L
(%i5) 
Run Example
f1(xi):= 1-xi^2;
                                               2
(%o1)                          f1(xi) := 1 - xi
(%i2) f2(xi):= log(1/xi);
                                             1
(%o2)                          f2(xi) := log(--)
                                             xi
(%i3) integrate(xi*f1(xi),xi,k,1);
                                  4      2
                                 k  - 2 k  + 1
(%o3)                            -------------
                                       4
(%i4) integrate(xi*f2(xi),xi);
                                 2     2
                               xi    xi  log(xi)
(%o4)                          --- - -----------
                                4         2
(%i5) 
Run Example
integrate((x+3)*(x-1)^(1/3),x,1,2);
                                      24
(%o1)                                 --
                                      7
(%i2) integrate(1/(x^2 -4*%e^2),x,0,%e);
                              - 1     - 1
                            %e      %e    log(3 %e)
(%o2)                       ----- - ---------------
                              4            4
(%i3) integrate(1/(x^2 -4),x,-1,0);
                                     log(3)
(%o3)                              - ------
                                       4
(%i4) integrate(1/(1-sin(x)),x,-%pi/2,0);
Principal Value
(%o4)                                  1
(%i5) 

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