Let me actually draw an integral where it might be very useful to utilize that property. So if this is a, this is b, and let's say the function, I'm just going to make it constant over an interval. So it's constant from there to there, and then it drops down from there to there. Let's say the function looked like this. Well, you could say that the larger integral, which would be the area under the curve, it would be all of this. Let's just say it's a gap right there, or it jumps down there. So this entire area, you can break up into two smaller areas.