1. (25 points) Evaluate lim (1-tan 2t) dt 1-0 2 0 2. (25 points) Determine the area of the region bounded by x = y-y-6 and x = 2y+4. 3. (25 points) Evaluate the following integral. In 2 1 -da e-1 70 4. (25 points) Find the volume of the solid obtained if the plane region R which is bounded by y = 1+sin and y 1 from 0 to x = is rotated about the x-axis.