Calculus AB - Area under a curve

Calculate the area for the shaded region on the parabola y = x² - 5x

• -39.33 units²

• 20.833 units²

• 106.67 units²

• -20.833 units²

• 39.33 units²

Calculate the area for the shaded region on the parabola y = 4x - x²

• 63 units²

• 20.833 units²

• 106.67 units²

• 30 units²

• 39.33 units²

The value of the definite integral for the shaded region on the parabola y = 8 - 2x - x² is:

• 39.21

• 20.833

• 106.67

• 63.34

• 32.67

The value of the definite integral for the shaded region on the function y = x³ - 3x² +2x is:

• 1.4

• 0.5

• 0.56

• 0

• 0.33

Find the area of the region enclosed by the lines and curves.
y = -4sin(x)   y = sin(2x)    0 ≤ x ≤ Π 

• 8
• 1/2
• 4
• 16

Tags

CCSS.HSF.TF.B.7

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 volume of the solid formed by revolving the region bounded by y = x and y = x² and the y-axis about the line y = 1.

• pi/4
• pi/5
• pi/3
• pi/2

Tags

CCSS.HSG.GMD.A.3

Disk/Washer Method

• B
• C
• D
• E

• B
• A
• D
• E

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3