# Calculating the integral

The question is asked in the mathstackexchange. There is no answer. I can't solve it by hand, also. Maybe we can solve it with Mathematica.

  \[Psi][0][τ]:=  Piecewise[{{0,  t<0}, { 1-t/h}}];

• The actual antiderivatives involved here are Integrate[(z^(ρ+1)-τ^(ρ+1))^(α-1)*τ^ρ, τ] (simple) and Integrate[(z^(ρ+1)-τ^(ρ+1))^(α-1)*τ^ρ*τ, τ] (hypergeometric), which can both be done by Mathematica. The tricky bit is the bookkeeping of coefficients and indices $i,j$. – Roman Jan 19 at 8:20