2. (5%) The capital value of an asset (such as an oil well) that produces a continuous streamn of income is the sum of the present values of all future earnings from the asset. Therefore, the capital value of an asset that produces income of r(t) dollars at time t (discounted at a continuous interest rate t) is

where T is the expected life (in years) of the asset. For an oil well that produces income of r(t) = 10000t2 for the following 10 years and the interest rate i = 5%, what is the capital value of this oil well?
(A) 2,302,028 dollars
(B) 99,346,934 dollars
(C) 26,563,254 dollars
(D) None of the above