Finding Area and Volume (Calc)

Which integral represents the area of the shaded region?

• A
• B
• C
• D

Find the area between the x-axis and the curve y = x² - 5x

• -125/6
• 53,125/24
• 5
• -25/6

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 between the x-axis and y=x²-2x-12 from x=1 to 4

• -30
• -56
• 30
• -128/3

Use the disk/washer method

• B
• C
• D
• E

Find the volume of the region bounded by y=2x+2 and y=x²+2 when rotated around the x-axis (washer/disk method)

• 48π/5
• ?

Find the volume of the region bounded by y=-x+1, y=0, and x=0, rotated around the x-axis (disk/washer)

• π/3
• ?

Find the volume of the region bounded by y=3x-2, y=6-x, and x=0, rotated around the y-axis

• 32π/3
• ?

Find the volume of the region bounded by x=4y-y² and x=0, rotated around the x-axis

• 128π/3
• ?

Find the volume of the region bounded by f(x)=8-x³ and x=0, rotated around the x-axis

• 576π/7
• ?