A particle moves along a straight line such that its velocity v v\,v at time ttt (where t>0t > 0t>0) is given by the model:
v(t)=24t7−6t2−10t6 v(t) = 24t^7 - 6t^2 - \frac{10}{t^6} v(t)=24t7−6t2−t610Determine the general expression for the displacement, s(t)s(t)s(t), of the particle, giving your answer in 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.
