recognise the definite integral ∫ {from a to b} f(x)dx as a limit of sums of the form ∑_i f(x_i) δx_i
calculate the area under a curve
calculate the area between curves in simple cases
solve equations involving indices using logarithms
identify contexts suitable for modelling by logarithmic functions and use them to solve practical problems
use logarithmic functions and their derivatives to solve practical problems
