Definite Integral Review

If  $\int_2^5g\left(x\right)dx=12$  what is the average value of  $g\left(x\right)$  on the interval  $\left[2,5\right]$  ?

 $\int_0^3\left(3x^2-4x\right)dx=$  

• 9

• 15

• 16

• 14

 $\int_2^6f\left(x\right)dx=$  

• 20

• 40

• 26

• 32

 $\int_1^8h\left(x\right)dx=12$  and  $\int_5^8h\left(x\right)dx=7$  find  $\int_1^5h\left(x\right)dx$  

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

• 6

• 20

• 2

• 24

For which functions below should we add 1 to the power to get an antiderivative?

• $f\left(x\right)=e^x$

• $f\left(x\right)=x^2$

• $f\left(x\right)=x^{-2}$

• $f\left(x\right)=x^{-1}$

• $f\left(x\right)=\sin x$

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

_{Evaluate the integral}

• 30/3
• 31/3
• 29/3
• 32/3

• 12/3
• 6.5
• 5.5
• 11/3

Find the area under a curve defined by the equation 5x⁴+3x+7 between the x values 0 and 4.

• 1200
• 1/12
• 1134
• 1076