An industrial chemist determines that the rate of change of a reactant's concentration CCC (in mol/L) with respect to the dosage of a catalyst xxx (in ml) is given by the model:
dCdx=(4x−5)(3x+2)(4x+5) \frac{dC}{dx} = (4x - 5)(3x + 2)(4x + 5) dxdC=(4x−5)(3x+2)(4x+5)Find the general expression for C C\,C in terms of xxx, writing your answer in its simplest form.
864 exam-style questions on Edexcel A Level Maths Integration, covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.