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

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

Find the area under the curve y =3x²-2x from x= 1 to x =5.

• 100
• 99
• 150
• 152

What is the anti-derivative of y = 3x³?

• 0.74x⁴+c
• x³+c
• 9x²+c
• x²+c

  ∫₁³ 5x² dx

• a. 43
• b. 130/3
• c. 40
• d. 19/3

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

• -8
• 8
• -2
• 2

• a. 43
• b. 130/3
• c. 40
• d. 19/3

Find the antiderivative of
4x-7

• 4 +C
• 2x²-7x+C
• x²-7x + C
• 8x² + C