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defint-integrate-ldefint-minf-sin

ldefint(1/e^(2*x),x,0...

integrate(sin(x)*sin(...

1/%e^(2*x);

Calculate

defint-laplace

eq1:x;

eq2:defint(eq1,x,a-b,a);

laplace(eq2,a,s);

Calculate

defint-numer-sqrt

numer: on;

f(n, k) := 1/sqrt(2*%...

defint(f(10, k), k, 4...

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defint-inf-integrate-ldefint-sin

ldefint(1/e^(2*x),x,0...

integrate(sin(x)*sin(...

Calculate

defint

defint(x^2,x,0,1);

Calculate

defint-sin

ndefint (sin(x^2),x,0...

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defint-integrate-ldefint-minf-sin

ldefint(1/e^(2*x),x,0...

integrate(sin(x)*sin(...

1/%e^(2*x);

Calculate

defint

eq1:gleichung=x+5;

defint(eq1, x, 0, 5);

Calculate

defint-exp-integrate-ldefint-minf-sin

ldefint(1/exp(2*x),x,...

integrate(sin(x)*sin(...

1/exp(2*x);

Calculate

defint-laplace-sin

defint(x,x,a-b,a);

eq1:sin(w*x);

eq2:defint(eq1,x,a-b,a);

Calculate

defint

Run Example
(%i1)defint(x,x,a-b,a);
                              2    2            2
                             a    b  - 2 a b + a
(%o1)                        -- - ---------------
                             2           2
(%i2) eq1:sin(w*x);
(%o2)                              sin(w x)
(%i3) eq2:defint(eq1,x,a-b,a);
                           cos((a - b) w)   cos(a w)
(%o3)                      -------------- - --------
                                 w             w
(%i4) laplace(eq2,a,s);
                     w sin(b w) + s cos(b w)        s
(%o4)                ----------------------- - -----------
                               2    2              2    2
                           w (w  + s )         w (w  + s )
(%i5) 
Run Example
assume (x*y>
0);
(%o1)                              [x y > 0]
(%i2) f(x,y):=defint(%e^(-t^2),t,0,(x*y));
                                            2
                                         - t
(%o2)                f(x, y) := defint(%e    , t, 0, x y)
(%i3) sol:solve(rhs(%o1));

solve: variable list is empty, continuing anyway.
(%o3)                                 all
(%i4) 
Run Example
ldefint(1/e^(2*x),x,0,inf);
                                                1
                                      limit    ----
                                      x -> inf  2 x
                              1                e
(%o1)                      -------- - -------------
                           2 log(e)     2 log(e)
(%i2) integrate(sin(x)*sin(x-%pi/4)/(e^(2*x-sin(x)^2)),x,0,inf);
                   inf
                  /        2
                  [     sin (x) - 2 x                %pi
(%o2)             I    e              sin(x) sin(x - ---) dx
                  ]                                   4
                  /
                   0
(%i3) 

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