INTEGRATION - AREA UNDER THE CURVE

Find the area under the curve y =3x²-2x from x= 1 to x =5. Do not use your calculator.

• 100

• 99

• 150

• 152

Find the area of a shaded region

• 80/3

• 40/3

• 26/3

• 80/6

Find the area under the curve

• ^17/5

• 6/5

• 13/3

• 1/3

Find the area under the curve

• 1/3

• 3

• 2/3

• 4/3

Given the gradient function of a curve is 4x-1. Find the equation of a curve if it passes through the point (-1,6)

• y = x² - x + 2

• y = 2x² - x + 3

• y = 2x² - x - 3

• y = x² - x + 3

  ∫₁³ 5x² dx

• a. 43
• b. 130/3
• c. 40
• d. 19/3

What does C represent when you have integrated a function

• A variable
• A constant
• None of these
• Unknown

Which definite integral models the area highlighted above?

• 
• 
• 
• 

 $\int_0^1f\left(x\right)dx\$  is

• Positive

• Negative

• 0

• Cannot be determined

 $\int_1^3f\left(x\right)\ dx$   is

• Positive

• Negative

• 0

• Cannot be determined