The rate at which a chemical residue accumulates in a filtration system, R R\,R milligrams per hour, is modeled by the equation:
R(t)=(5t−2)(3t+1)3t,t>0 R(t) = \frac{(5\sqrt{t} - 2)(3t + 1)}{3\sqrt{t}}, \quad t > 0 R(t)=3t(5t−2)(3t+1),t>0where t t\,t is the time in hours since the filter was installed. Determine the general expression for the total mass of residue, M(t)M(t)M(t), in the system, giving your answer in simplest form.
160 exam-style questions on WJEC A Level Maths 1.8 Integration, covering 1.8.1 Integration, 1.8.2 Integration, and 1.8.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.