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Find the area between each curve and the x-axis for the given interval.

1)y = x^4 + 5 from x = 0 and x = 5

2)y = 3x^2 + 5x - 1 from x = 1 to x = 4

3)y = 4x - x^3 from x = 0 to x = 2

These are pretty easy with calculus, however, I assume you have not had integral calculus. So what have you had? Simpson's rule can be used, as well as a number of other numerical integration algorithms.

http://en.wikipedia.org/wiki/Simpson's_rule

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