Find the area between the curves:

y=x^3-12x^2+20x and

y=-x^3+12x^2-20x

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- Feb 26th 2008, 11:47 AMwaite3Please help Area Between curves
Find the area between the curves:

y=x^3-12x^2+20x and

y=-x^3+12x^2-20x - Feb 26th 2008, 12:14 PMJhevon
first, find where the curves intersect. by setting them equal to each other and solving for x. let's say they intersect for and , where . then these are your limits of integration.

now we need to check which graph is above which. you can simply plug in a value between and and see which function gives the higher value. (it is an extremely good idea to graph the curves. just in case they enclose more than one area. you can use a graphing utility to do this)

Now, let the area between the curves be .

we have

can you continue? - Feb 26th 2008, 12:21 PMwaite3
i keep getting either 0 or 940 but the answer is not correct. any help would be appreciated.

- Feb 26th 2008, 12:33 PMJhevon