Definite Integrals

What is the value of the definite integral :  $\int_{-3}^3x^2+x+1\ dx$  ?

• 6

• 9

• 24

• 33

 What is the value of the definite integral :   $\int_0^{\frac{\pi}{2}}\cos\left(x\right)\ dx$ 

• -1

• 1

•  $\pi$  

•  $\frac{\pi}{2}$  

 $\int_0^3\left(3x^2-4x\right)dx=$  

• 9

• 15

• 16

• 14

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

• 6

• 20

• 2

• 24

 $\int_1^4\ \left|x\ -\ 3\right|\ dx$  =

•  $\frac{-5}{2}$  

• 6

•  $\frac{-3}{2}$  

•  $\frac{5}{2}$  

 $\int_{-2}^{-1}\ \left(4x^2\ +\ 3x\ -1\right)\ dx$  =

•  $\frac{89}{6}$  

•  $\frac{23}{6}$  

• 7

• 0

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

• 2

• 22

• -2

• 3

 $\int_{-3}^5\ \left|x^2+7x\ -\ 18\right|\ dx$  =

• 154.33

• -37.33

• 161

• 52.67

What is the value of the definite integral :  $\int_{-3}^{-1}\ \frac{6-3x^3}{5x^8}\$  ?

• 2697.07

• 12.15

• 0.32

• 2624.41

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

• 20

• -7

• -10

• -4