Please help with answering these math questions. Show all work, and make it as simple and easy to follow. Please take your time in doing the work, the arithmetic has to be correct and so does the final answer. I really need help in getting these problems right, thank you!

Question 1 (Essay Worth 10 points) (06.01) Find the area of the region bounded by the curves y = sin" , y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative.Question 2 (Essay Worth 10 points) (06.02) Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved around the line y = -1.Question 3 (Essay Worth 10 points) ['3 (06.02) The base of a solid in the xyplane is the rst-quadrant region bounded y = x and y = x2. Cross sections of the solid perpendicular to the xaxis are semicircles. What is the volume, in cubic units, of the solid