Integral Review

What is an antiderivative?

• The opposite of a derivative
• The same as a derivative
• A second derivative
• It always represents velocity.

What does C represent in an antiderivative?

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

Evaluate the integral

• 3

• 9/2

• 9

• Not possible

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

For a function that is strictly decreasing, a right hand Riemann Sum is which of the following:

• Overestimate
• Underestimate
• Exact Solution
• Unable to Determine

Use a midpoint Riemann Sum to approximate the area between 0 to 3 with 3 subintervals.

• 14

• 7

• 26

• 11

Tags

CCSS.HSF.IF.B.4

• Average Value
• Net Area
• Total Area
• Average Rate of Change

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

• 100
• 99
• 150
• 152

∫cosx dx = 

• -secx + C
• secx + C
• sinx + C
• -sinx + C