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risch

Run Example
(%i1)risch ((x^2 + 2*x + 1 + (3*x + 1) * sqrt(x + ln(x)))/(x * sqrt(x+ln(x)) * (x + sqrt(x + ln(x)))), x);
                 /                              2
                 [ (3 x + 1) sqrt(ln(x) + x) + x  + 2 x + 1
(%o1)            I ---------------------------------------- dx
                 ] x sqrt(ln(x) + x) (sqrt(ln(x) + x) + x)
                 /
(%i2) 
Run Example
risch(sqrt(x+sqrt(x)),x);
                          /
                          [                    1/4
(%o1)                     I sqrt(sqrt(x) + 1) x    dx
                          ]
                          /
(%i2) 
Run Example
assume (t>
0);
(%o1)                               [t > 0]
(%i2) assume (T>
0);
(%o2)                               [T > 0]
(%i3) erfflag:false;
(%o3)                                false
(%i4) erfflag;
(%o4)                                false
(%i5) integrate (j*(2*j+1)*exp(-(t/T)*j*(j+1)), j, 0, inf), risch;
                       inf                 j (j + 1) t
                      /                  - -----------
                      [                         T
(%o5)                 I    j (2 j + 1) %e              dj
                      ]
                      /
                       0
(%i6) 

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