Question

Find the total area of the region between the curve and the x axis. Y=x^3-4x -2<_x<_2

Answer 1

I dont think my teacher wants us to integrate it! is there an alternate way?

Answer 2

You can use a summation of areas of rectangles under the graph.

Width of each rectangle will be: \[w={{b-a}\over n}\]Where b=right limit=2
a=left limit=-2
n=number of rectangles.
Then: \[\sum_{n=1}^{n} w f(a+wn)\]
But because the graph goes into the negative you'll need to find the area of -2<=x<=0 and add on the area of 0<=x<=2 to get the total area.

Answer 3

alright ill give it a shot thanks!

Answer 4

If you don't understand any part, just ask. Good Luck