So that would give a negative value here, but the magnitude of it, the absolute value of it, would be this area right over there. Now what would just the integral, I'm not even thinking about the negative sign here, what would the integral of this g of x of this blue integral give? Well, that would give this the negative of this entire area. But now we're gonna take the negative of that, and so this part right over here, this entire part, including this negative sign, would give us, would give us this entire area, the entire area. This would actually give a positive value because we're taking the negative of a negative. But if with the area that we care about, right over here, the area that we cared about originally, we would want to subtract out this yellow area. Well, this right over here, this yellow integral from the definite integral from m to n of f of x dx, that's exactly that.