Integration

This is regarded as a very hard topic in A level but if you spot the tricks in each method, it becomes easy.

In any questions you should follow a process that helps identify the correct method to use.

The basics of integration (this is from AS maths)

Year 13 A level Integration

Integration by inspection (reverse chain rule). Video 1 Video 2 using e^ Using ln x video 3

Hard example Video 4

Collection of more inspection methods Click here

Integration by substitution

A collection of all different types again just from a different source, inc trig functions, using trig identities and more. Worth watching all.

Integrating Trig functions with powers (using double angles). You can't integrate using powers on trig functions

Video 1 Video 2 Integrating squared trig functions Tutorial

Integration By Parts

Integration using Partial Fractions

Standard Integrals and Differentiating Arctanx

Kinematics in integration. Video 1 Video 2

Differential equations – Separating the variables – Playlist

Differential Equations examples

It is more than likely that you will face one of these and they come in several forms
Differential equations - Serperating variables Example 1, Example 2, Example 3
Differential Equations - Involving Partial Fractions Hard A level style question