Finding Area and Volume (Calc)

Front

Which integral represents the area of the shaded region? Options: A, B, C, D

Back

C

Front

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

Back

-125/6

Front

Find the area of the region enclosed by the lines and curves.
y = 3x + 4 and y = x² + 4

Back

9/2

Front

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

Back

-30

Front

Use the disk/washer method

Back

D

Front

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

Back

48π/5

Front

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

Back

π/3

Front

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

Back

32π/3

Front

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

Back

128π/3

Front

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

Back

576π/7