We need to find the total area of the region between the X axis and the graph of Y equal X to the 1/5 -, X from -1 less than or equal to X less than or equal to 9. So we're going to set 0 equal to X to the 1/5 -, X We're going to factor out the X to the one fifth. We always take out the lowest exponent, 1/5 is lower than one. Then we're going to set each of those terms equal to 0. So we get X = 0 and 1 -, X to the 4/5 = 0. So we get X = 0 and X equal 1. So we're going to subdivide this up into three different intervals. We're going to have -1 to 0. We're going to have zero to one. We're going to have 1:00 to 9:00. When we do that, we need to think about whether we're above the X axis or below the X axis. From -1 to 0 we're going to be below. So we're going to take the opposite of that from zero to one, we're above, so it's going to be positive from 1:00 to 9:00. We're going to be below, so we're going to subtract or take the opposite of it. Taking the integration of each of those, we get negative 5-6 X to the six fifths plus 1/2 X squared from -1 to 0 plus 56X to the six fifths -1 half X ^2 from zero to 1 + -5 six to the six fifths plus 1/2 X squared from 1:00 to 9:00. Putting in our upper bound minus our lower bound. And I grabbed a calculator. 29.86 is approximate area.