Area and Volume Calculus

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

y = 3x + 4 and y = x² + 4

• 9

• 93/2

• 9/2

• 18

Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the curve y = 1/√x, and the x axis. (you should graph this)

• 5/4

• 11/4

• 3/2

• 3/4

Solve for the volume of the solid generated by revolving about the x-axis the area bounded by y=\sqrt{x}, and the lines y=0, x=0, and x=2.

Find area under curve from (-1,0)

• 0.75

• 1.25

• 1.5

• 1.67

Which one of the definite integrals below gives the volume of the solid?

Which one of the definite integrals below gives the volume of the solid?

Which one of the definite integrals gives the volume of the solid?

What is the volume of the solid generated when R is rotated about the x-axis?

Which integral would find the volume of the bounded area revolved around the x-axis