Answer the problems and include graphs if needed. Don't use online calculator pls

Activity 1. Evaluate the following definite integrals by using the fundamental theorem of Integral Calculus. 1. Find the area of the region bounded above by the curve y = 2e-* + x, below by the curve y = =, on the left by x = 0, and on the right by x = 1. 2. Find the area of the region enclosed by the parabola y = 2 - x2 and the line y = -X. 3. Find the area of the region in the first quadrant that is bounded above by y = Vx and below the x- axis and thrline y = x - 2. 4. Find the volume of the solid generated by revolving the region between the y - axis and the curve x = 2/y, a = 1, b = 4, about the y-axis. 5. Find the volume of the solid generated by revolving the region between the parabola x = y + 1 and the line x = 3 about the line x = 3