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Using Integration to find the area between the curve and the x axis between 2 points. Start off with an equation e.g. 4x 6x 6x 5 3 2 And where you want to find the area between e.g. 1 and 5 To integrate, add 1 to the power, then divide the co-efficient by the new power. So you need to follow these simple steps: Put the integration symbol in front of the equation, along with the two numbers you’re integrating between (the largest number on the top) and add “dx” onto the end 5 4 x 6 x 6 x 5 dx 3 1 2 Now using square brackets, do what I previously said about adding 1 to the power and dividing the front number by the new power, so you get this. 5 4x 6x 6x 5x 2 2 4 1 4 3 2 That simplifies to x 4 5 2 x 3x 5 x 1 3 2 which is easier to deal with The next step is to put 5 as the x value, and 1 as the x value, then subtract the answer from 1 being the x value from the answer you get when 5 is the x value. This is what you get when 5 and 1 are subbed in: 5 2 5 3 5 5 5 1 2 1 31 5 1 4 4 3 3 2 2 Simplify it down: 625 250 75 25 1 2 3 5 Now you just need to do the calculation, and you will have the area, which is always in units2 unless stated otherwise. 975 11 964units 2 You can check your answer using derive for windows in the maths department Click this button to open this Enter the equation and the two limits Now click simplify and the answer will come up on the screen