Integrals (basics) retake quiz

∫(4 - 18x)dx

• F(x) = -18
• F(x) = 4x - 9x²
• F(x) = 4x - 9x² + C
• F(x) = (4 - 18x)² /2 + C

Use 3 trapezoids to determine the approximate area of the shaded area.

• 12

• 9

• 10

• 5

Based on the table, use a Right Riemann sum and 4 sub-intervals to estimate the Area under the curve. (Choose the correct set-up.)

• 5(3) + 1(4) + 2(5) + 1(7)

• 5(4) + 1(5) + 2(7) + 1(6)

• 5(3) + 6(4) + 8(5) + 9(7)

• 0(3) + 5(4) + 6(5) + 8(7)

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

(Calculator allowed)

• 100

• 99

• 150

• 152

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

• Overestimate
• Underestimate
• Exact Solution
• Unable to Determine

 $\int_1^2\left(2x+k\right)dx=8.$  

 $\ k=?$  

•  $4$  

•  $5$  

•  $-3$  

•  $-2$  

What does picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

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

• Overestimate
• Underestimate
• Unable to Determine
• Exact Solution

What does C represent in an antiderivative?

• A variable

• A constant

• Unknown

• None of These

 $\int_1^2f\left(x\right)dx=3$  .  $\int_1^24f\left(x\right)dx=$  

•  $12$  

•  $7$  

•  $-12$  

•  $\frac{4}{3}$