Review Quiz 3

The area under a curve is calculated using which mathematical concept?

• antiderivative

• indefinite integral

• definite integral

• derivative

The result of  $\int_0^2\left(x^3-2x^2-x+1\right)\ dx$  is:

• positive

• negative

• zero

• -8
• 8
• -2
• 2

The shaded area in the figure is represented by which of the following integral expressions?

•  $\int_{-1}^2f\left(x\right)\ dx$  

•  $-\int_2^{-1}f\left(x\right)\ dx$  

•  $-\int_{-1}^2f\left(x\right)\ dx$  

•  $\int_{-2}^1f\left(x\right)\ dx$  

Name the discontinuity at x=2. 

• Infinite Discontinuity
• Removable Discontinuity
• Jump Discontinuity
• Continuous at x=2

Name the discontinuity at x=2. 

• Infinite Discontinuity
• Removable Discontinuity
• Jump Discontinuity
• Continuous at x=2

What is the limit?

• Infinity
• 20
• DNE
• 12

$\int\frac{1}{x}dx=$

• $\ln\left|x\right|+C$

• $-\frac{1}{x^2}+C$

• $\frac{1}{x^2}+C$

• 1

Tags

integration and transcendentals

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum