? ldefint;

Calculate

? ldefint;

Calculate

ldefint

Run Example
```(%i1)eq1: ’diff(y,x)=3*y+1;
(%o1)                        diff(y, x) = 3 y + 1
(%i2) eq2: ldefint(x^2,x,1,inf);
3
limit    x
x -> inf      1
(%o2)                           ----------- - -
3        3
(%i3) ```
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) ```
Run Example
```assume (t>
0);
(%o1)                               [t > 0]
(%i2) assume (T>
0);
(%o2)                               [T > 0]
(%i3) ldefint ((2*j+1)*exp(-(t/T)*j*(j+1)), j, 0, inf);
2                                  2
j  t   j t                         j  t   j t
/     - ---- - ---                 /     - ---- - ---
[        T      T                  [        T      T
(%o3) 2 (limit    I j %e             dj) - 2 (limit  I j %e             dj)
j -> inf ]                           j -> 0 ]
/                                  /
t
---                        t
sqrt(t)             4 T                       ---
sqrt(%pi) erf(---------) sqrt(T) %e                          4 T
2 sqrt(T)                  sqrt(%pi) sqrt(T) %e
- -------------------------------------- + -----------------------
2 sqrt(t)                         2 sqrt(t)
(%i4) ```

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