Notions Used In Integration

Although integration has been introduced as the reverse of differentiation, it is an important mathematical operation in it's own right.

As such, it has it's own special notation.

The symbol for "integrate" is

So to integrate x, you write

This reads, "integrate x with respect to x."

It is essential that you include the dx, as this tells you which variable you want to integrate. The solution to the above problem then would be

If the expression that you are integrating contains more than one term, then you must bracket the terms, with the dx outside the brackets. e.g.

Another example

As with differentiation, it is important that all terms are in the correct form, before you integrate. This may involve some re-arranging.