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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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