Can someone please help me with this question ASAP?!!!! This is a method of substitution.

The population of a culture of bacteria has a growth rate given by p'tt) = bacteria per hour, for t2 0. where r>1 is a real number. The increase in the population over the time interval [0.t] is given by (t+1)r t Jp'ts)ds. (Note that the growth rate decreases in time, reecting the competition for food and spaoe.) Complete steps (a) through (e) below. 0 3. Using the population model with r = 2, what is the increase in the population over the time interval 0 sts4? The increase in the population over the given interval is approximately bacteria. (Round down to the nearest integer as needed.)