area under curve

  $\int_{ }^{ }ax^n\ dx\ =$  

•  $\frac{ax^{n+1}}{n+1}$  

•  $\frac{ax^{n-1}}{n-1}+\ c$  
  

•  $\frac{ax^{n+1}}{n}+\ c$  

•  $\frac{ax^{n+1}}{n+1}+\ c$  

What does C represent in an antiderivative?

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

• 0.75x⁴+c

• x³+c

• 9x²+c

• x²+c

Which of the following is the indefinite integral of  $\frac{x^3}{2}+7$  ?

•  $\frac{3x^2}{2}$  

•  $\frac{3x^2}{2}+7x+c$  

•  $\frac{x^4}{8}+7x+c$  

•  $\frac{x^4}{8}+c$  

Which of the following is the indefinite integral of  $\frac{3}{x^4}\ \ ?$ 

•  $-\frac{1}{x^3}+\ c$  

•  $\frac{3}{5x^5}+\ c$  
  

•  $-\frac{12}{x^5}+\ c$  

•  $\frac{1}{x^3}+\ c$  

Which definite integral models the area highlighted above?

• 
• 
• 
• 

 $\int_{-2}^4\left(x+2\right)dx$  is represented by what geometric formula?

 $\int_{-1}^1f\left(x\right)dx\$  is

• Positive

• Negative

• 0

• Cannot be determined

 $\int_{-1}^5f\left(x\right)\ dx$   is

• Positive

• Negative

• 0

• Cannot be determined

Using the areas of each region given
 $\int_a^df\left(x\right)=$  

• 6

• 20

• 2

• 24