FM P2 review 2.4 Integration

review notes

integrate hyperbolic functions and recognise
integrals of functions
derive and use reduction formulae for the
evaluation of definite integrals
understand how the area under a curve may be
approximated by areas of rectangles, and use
rectangles to estimate or set bounds for the area
under a curve or to derive inequalities or limits
concerning sums
use integration to find
– arc lengths for curves with equations in
Cartesian coordinates, including the use of a
parameter, or in polar coordinates
– surface areas of revolution about one of the
axes for curves with equations in Cartesian
coordinates, including the use of a parameter.