1. INTEGRATION

2. INTEGRATING TO FIND AREA BENEATH A CURVE
To find the area under a curve, integrate between points. E.g. Integrate the curve y= 3x4-2x3+1 between the points x=1 and x=-1

3. How to integrate
Firstly, set out the equation as below.
These the points to integrate between
With respect to x
This means integrate
The Equation

4. To integrate, add one onto the power and divide by the new power for each value of x. e.g.
This can be cancelled down to:

5. Then we substitute x in for each value, and take the lower from the higher.
Therefore the area under the curve is 3.2