Question: A continuous varying annuity is payable for 20 years. The rate of payment at time ( t ) is ( t^{2}-1 ) per annum, and

A continuous varying annuity is payable for 20 years. The rate

A continuous varying annuity is payable for 20 years. The rate of payment at time \\( t \\) is \\( t^{2}-1 \\) per annum, and the force of interest at time \\( t \\) is \\( \\delta_{t}=\\frac{1}{1+t} \\). Find the present value of this annuity

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