A marine biologist models the rate of change of nutrient density DDD with respect to the depth hhh (in meters) of a water column as:
dDdh=7h5−414h6,h>0\frac{dD}{dh} = \frac{7h^5 - 4}{14h^6}, \quad h > 0dhdD=14h67h5−4,h>0
Find an expression for DDD in terms of hhh, giving your answer in its simplest form.
Practise Edexcel A Level Maths 11.1 Integrating Standard Functions with exam-style questions for A Level Maths. 81 questions, matched to the Edexcel A Level Maths (9MA0) 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.