How do you integrate?

Ok so there are two basic steps to integrating a function:

1. You add 1 to the power of any x term.  e.g.   x² -> x³, 2x⁷ -> 2x⁸, 3 = 3x⁰ -> 3x

2. You divide the term by the new power e.g. if the new power is 3, as in the first example in the last step, you divide by 3. So x² will integrate to x³/3. The other examples: 2x⁷ -> 2x⁸/8 which simplifies to x⁸/4; 3 = 3x⁰ -> 3x¹/1 =3x

This can be generalised in the equation: Integral of axⁿ (where a and n are constant numbers that you can sub any number in for) is ax⁽ⁿ⁺¹⁾/(n+1). This is true for everything apart from x^-1 as you cant divide by zero, which is a special case.