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Rule: An equation must be balanced. Therefore, in order to keep the equation balances, what you do to one side you must do to the other side. Change of subject questions require you to isolate the require...

This is an example of the chain rule.

The chain rule is the following: if y = uv, then dy/dx = udv/dx + vdu/dx

So in this case, u = ( 4x + 1)^3, v = sin(2x)

du/dx = (3)(4)( 4x + 1 )^2...

 ∫x² ln(4x)dx

Firstly , identify this question as integration by parts. Therefore set one half as value 'u' and one as value 'dv'.

Here we will set u = ln(4x).

Therefore: d...

There are two methods for solving simultaneous equations, the algebraic method or graphic method. While using graphs is a useful visual way to solve simultaneous equations, this is more time consuming and...

*The usual mistake with inequalities is not with a students algebra, but with lack of consideration of the inequality signs. During a tutorial I would show their false method and my correct one and also s...