Hi Drexel28

Could you expand on your objection to the statement I made in my earlier post ?

The example you give,

doesn't contradict my statement.

My statement would say that the integral is equal to zero

because the integrand is identically zero, (which clearly it isn't),

because the part of the area lying above the x-axis is equal to the part of the area lying below the x-axis, (which is the case here).

The implication of that is that

is zero at at least one point in the interval, (in order that the curve crosses the x-axis).