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.
480 exam-style questions on AQA A Level Maths 1.11 H: Integration, covering 1.11.1 Fundamental Theorem of Calculus, 1.11.2 Integrating standard functions, 1.11.3 Definite integrals and areas, 1.11.4 Integration as the limit of a sum (A-level only), 1.11.5 Integration by substitution and by parts (A-level only), 1.11.6 Integration using partial fractions (A-level only), 1.11.7 Differential equations with separable variables (A-level only), and 1.11.8 Interpreting solutions of differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.