[b][color=#0000ff]For each exercise, write a definite integral, with respect to the indicated variable, that expresses the area or volume being described.  Then, evaluate that definite integral using the fundamental theorem of calculus. [br][br][/color][color=#ff0000]Note: The values of each pair of definite integrals (displayed in the same color) should be equal![/color][br][/b][br][color=#980000]1) Area of R1 (Integrate with respect to x).  [br]2) Area of R1 (Integrate with respect to y).[br][/color][br][color=#45818e]3) Area of R2 (Integrate with respect to x).[br]4) Area of R2 (Integrate with respect to y).[br][/color][br][color=#ff00ff]5) Area of R3 (Integrate with respect to x).[br]6) Area of R3 (Integrate with respect to y).[/color][br][br][color=#0000ff]7) Volume of solid of revolution formed by rotating R1 about the x-axis[br]    (Integrate with respect to x.)  [br]8) Volume of solid of revolution formed by rotating R1 about the x-axis[br]    (Integrate with respect to y.)  [/color][br][br][color=#9900ff]9) Volume of solid of revolution formed by rotating R1 about the y-axis[br]    (Integrate with respect to x.)  [br]10) Volume of solid of revolution formed by rotating R1 about the y-axis[br]    (Integrate with respect to y.)  [/color][br][br][color=#b6d7a8]11) Volume of solid of revolution formed by rotating R2 about the x-axis[br]    (Integrate with respect to x.)  [br]12) Volume of solid of revolution formed by rotating R2 about the x-axis[br]    (Integrate with respect to y.)  [/color][br][br][color=#ff7700]13) Volume of solid of revolution formed by rotating R2 about the y-axis[br]    (Integrate with respect to x.)  [br]14) Volume of solid of revolution formed by rotating R2 about the y-axis[br]    (Integrate with respect to y.)  [/color][br][br][color=#ff0000]15) Volume of solid of revolution formed by rotating R3 about the x-axis[br]    (Integrate with respect to x.)  [br]16) Volume of solid of revolution formed by rotating R3 about the x-axis[br]    (Integrate with respect to y.)  [/color][br][br][color=#000000]17) Volume of solid of revolution formed by rotating R3 about the y-axis[br]    (Integrate with respect to x.)  [br]18) Volume of solid of revolution formed by rotating R3 about the y-axis[br]    (Integrate with respect to y.)  [/color]