3 MTH 252 Recitation Activity 8 Due Tuesday, Nov. 21, 2023 (3) The largest triangle with a base on the x-axis that fits inside the upper half of the unit circle x2 + y2 = is given byy = 1 + x and y = 1 x. The area of the region inside the semicircle but outside the triangle is the area bound between y = V1 x2 and 1 |x| on the interval [1,1]. Set up the integral and evaluate it to find the area of this region. Important: Express this using one or more integralls). Do NOT use geometry for this evaluation