Take the integral of the equation of the curve from each end point to calculate the area under the curve.
for example:
take the integral from 0 to 5 of the equation x2.
the result is 1/3(x3) then that is evaluated at 5 and 0 [plug in x=5 and x=0]
subtract the result when you plug in 5 from when you plug in 0
and that should be the area.
1/3(125)-1/3(0)= 41.666
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the formula
The area under the normal curve is ALWAYS 1.
In statistics you can find the area under a curve to establish what to expect between two input numbers. If there is a lot of area under the curve the graph is tall and there is a higher probability of things occurring there than when the graph is low.
The are under the curve on the domain (a,b) is equal to the integral of the function at b minus the integral of the function at a
It is 0.