Find the area of the region enclosed by the lines and curves.

y = 3x + 4 and y = x² + 4

Find the area of the region bounded by the equations y = x² + 1 and y = 5.

Write the integral that can be used to find the region bounded by x = -3y² + 4 and x = y³.

 $A_1+A_2=$  

Write the integral that would be used to find the area bounded by y = x² + 1, y = x - 2, x = -2 and x = 2.

Write the integral that would be used to find the area bounded by the graphs of x - y = 2, y = 8 and x = y^2/3.

Write the integral that would be used to find the volume of the region bounded by x = -1, x = 2, y = 0 and y = 1/2x² + 2.

Write the integral that could be used to find the volume of the solid formed when the region bounded by y = -2x² + 1 and y = -x² + 1 is revolved about the x-axis.

Write the integral that would be used to find the volume of the solid generated when the region bounded by y = x² + 1, the x-axis, the y-axis and x = 3 is revolved about the y-axis.

Write the integral that would be used to find the volume of the solid generated when the region bounded by the graphs of the y-axis, x = 9 and y = x³ + 1 is revolved about the x-axis.