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We have two reliable methods of solving this simultaneous equation. We can either eliminate the variables (x or y) directly, or make one of the variables the subject of the equation. I will show you how t...

The exponential function is defined as a power series, which we may (for reasons that are beyond the scope of A-level) differentiate term by term to get another power series. The general term of the serie...

this is an example of an integration by parts problem, we must use integration by parts to evaluate this integral;although this would not be entirely obvious as the integral does not seem to be the produc...

This equation is an example of a quadratic equation, which is noticeable by the presence of the x² term on the left hand side. We begin to solve these types of equations by moving all the terms...

Let us take this quadratic equation as an example:2x² - 3x - 14 = 0The key here is to look for two numbers that multiply to the same number that 2 and -14 multiply to make, so that is 28. The n...