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

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

• 0.74x⁴+c
• x³+c
• 9x²+c
• x²+c

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

Evaluate the definite integral.

• $8\pi$

• $16\pi$

• $128\pi$

• Not possible

  ∫₁³ 5x² dx

• a. 43
• b. 130/3
• c. 40
• d. 19/3

Tags

CCSS.HSA.APR.A.1

What does C represent in an antiderivative?

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

Find the area indicated by the following integral

• $16\pi$
  

• $8\pi$

• $64\pi$

• $32\pi$