在maple7中，能算出积分值    但是在maple13中，无法算~~~
f:=x^4*GAMMA((n+1)/2)*((1+x^2/n))^(-(n+1)/2)/((n*Pi)^(1/2)*GAMMA(n/2));
                                     /       2 \(- 1/2 n - 1/2)
                4                     |      x   |
               x   GAMMA(1/2 n + 1/2) |1 + ----|
                                     \      n   /
          f := -----------------------------------------------
                                 1/2
                           (n Pi)     GAMMA(1/2 n)
> int(f,x=-infinity..infinity);
                                     3/2
                                    n
                  3/4 --------------------------------
                           1/2
                      (1/n)     (1/2 n - 2) (1/2 n - 1) 

13有时候抽风，你重启一下可能又能算了，不信试试。