INTEGRATION.

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Presentation transcript:

INTEGRATION

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

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

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:

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