A geologist models the rate of erosion, RRR, of a coastal rock formation over time ttt (in decades) using the function:
R(t)=49t2−35t2+2.5 R(t) = \frac{4}{9}t^2 - \frac{3}{5t^2} + 2.5 R(t)=94t2−5t23+2.5Determine the general expression for the total accumulated erosion, E(t)=∫R(t) dtE(t) = \int R(t) \, dtE(t)=∫R(t)dt, simplifying your coefficients.
