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'Int(x^(k+v-1)/(1+x),x = 0 .. infinity)': '%'= value(%);

             infinity
            /          (k + v - 1)
           |          x
           |          ------------ dx = Pi/sin(Pi*(k+v))
           |             1 + x
          /
            0

Having 0 < v, v < 1 this is ok for k=0. 

However this is not correct for 1 <= k an integer: 
for v=1/2 and k=1 for large x it is like int( sqrt(x) )
and for larger k the integrand is not bounded.

Have this problem in Maple 9.5 up to Maple 12 (and made
a little beautification in the above output).
infinity integer

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