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Integrate the function for the curve, as normal, but the change the sign of the result. Be very careful that the curve is always on the same side of the x-axis between the limits of integration. If necessary, partition the integral.

For example, to find the area between the x-axis and sin(x) between x=0 and x=3*pi, you will need

Integral of sin(x) between 0 and pi,

-[integral of sin(x) between pi and 2*pi] - this is where the curve is below the x-axis.

+integral of sin(x) between 2*pi and 3*pi.

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Q: How determine the area of curve under the x-axis?
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