So there exists a c, where g of c is equal to one over b minus a, times the definite integral from a to b of g of x, g of x, dx. F prime of x is the same thing as g of x. So another way of thinking about it, and this is actually another form of the mean value theorem, it's called the mean value theorem for integrals. Mean value theorem for integrals. Let me, so this is the mean, I'll just write the acronym, mean value theorem for integrals, or integration, which essentially, and to give it a slightly more formal sense, is if you have some function g, so if g is, let me actually go down a little bit, which tells us that if g of x is continuous, continuous on this closed interval, going from a to b, then there exists, then there exists a c in this interval where g of c is equal to, what is this? This is the average value of our function. There exists a c where g of c is equal to the average value of your function over the interval.