Y2 Pure 11.2

Intergrating f(ax + b)

Integrating e^(kx)

Integrating sin(kx) & cos(kx)

Further examples of integration

Y2 Pure 11.4

Reverse chain rule

Reversing the chain rule

+H5:02-04 (examples)

Reversing the chain rule with trig

+H5-06 (example)

Reversing the chain rule with exponentials

+H5-08 (example)

Reversing the chain rule with reciprocals

+H5-10 (example)

Integrating tan(x) and cot(x)

EXTENSION: integrating sec(x) and cosec(x)

Y2 Pure 11.6

Integration by parts

Intro: integration by parts & LATE

EXTENSION: deriving the integration by parts formula

When integration by parts goes right

+H5-29 (goes wrong)

Integration by parts with definite integrals

+H5-31 (examples)

Integrate x*(x+1)^5 by Parts

Integrating ln(x)

Integrating by parts twice

+H5:35-37 (examples 1-3)

Tabular method for integration by parts

+H5-39 (examples)

Integrate sin(x)*e^x

Y2 Pure 11.8

Finding areas

Finding the area between two curves: example 3

Finding the area between two curves: example 4

Find the area between two curves

+H5-40 (another example)

11.8a

Areas under parametric curves

Intro: parametric integration

Parametric integration: example 1

Parametric integration: example 2

Y2 Pure 11.10

Solving differential equations

Intro: differential equations

+H7-01

Direct & inverse proportion

The method of separation of variables

Examples of finding general solutions

Examples of finding particular solutions

Tougher examples

11.12 Integration as a limit of a sum

Integration as the limit of a sum

An example of finding an area as the limit of a sum