Using the Applications of Definite Integral and Plane Areas and Areas Between Curves and Volumes of Solid of Revolution solve the following problemExpress your answers as decimals rounded off to two decimal places. For the volume, multiply it to the value of Pi (3.14) to get the final answer. Show your solution. 1. Find the area of the region bounded by y = x*2 + 2x -6 and y = 3x 2. . Determine the volume of the solid obtained by rotating the region bounded by y= x'2 and y=x about the xaxis 3. Determine the area of region by y = x'2 + 4x and the y - axis 4. Deterrnlne the area of region bounded by y = x'2 and y = 2x - x'2 5. Find the volume of the solid obtained by rotating the region bounded by y= x*2. y = 4 and the y - axis about the yaxls 6. Determine the volume of the solid obtained by rotating the region bounded by y= x - x'3. x = O, x = 1 and the x - axis about the y-axis