Calculus II - Area under a curve

What are the values of the roots for this parabola?

• x = 0 and x = 5

• x = -1 and x = 7

• x = 1 and x = 4

• x = 0 and x = -4

• x = 0 and x = 3

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

The value of the definite integral for the shaded region on the parabola y = x² - 5x is:

• -39.33

• 20.833

• 106.67

• -20.833

• 39.33

What are the values of the roots for this parabola?

• x = 0 and x = 5

• x = -1 and x = 3

• x = 1 and x = 4

• x = 0 and x = -4

• x = 0 and x = 4

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

What are the values of the roots for this parabola?

• x = -2 and x = 2

• x = 0 and x = -3

• x = 1 and x = 4

• x = 0 and x = -4

• x = -2 and x = 3

What is the coordinate A on the given graph? (y = 6x + x²)

• (-2,2)

• (-3,0)

• (1,4)

• (-4,0)

• (-2,0)

Calculate the area for the shaded region on the parabola y = 6x + 2x²

• 63 units²

• 20.833 units²

• 106.67 units²

• 30 units²

• 9 units²

The value of the definite integral for the shaded region on the parabola y = 6x + 2x² is:

• -63

• -20.833

• -106.67

• -30

• -9

What are the values of the roots for this parabola?

• x = -2 and x = 2

• x = -5 and x = 1

• x = 1 and x = 4

• x = 3 and x = -3

• x = -2 and x = 3