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.
Practise AQA A Level Maths 1.11 H: Integration with exam-style questions for A Level Maths. 436 questions 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), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
