Properties of the Definite Integral

Suppose f and g are continuous functions and that the given statements are true. Use the properties of the definite integral to find

 $\int_5^1g\left(x\right)dx$  

• 8

• -8

• 6

• -6

Suppose f and g are continuous functions and that the given statements are true. Use the properties of the definite integral to find

 $\int_1^23f\left(x\right)dx$ 

• 3

• -4

• 12

• -12

Suppose f and g are continuous functions and that the given statements are true. Use the properties of the definite integral to find

 $\int_1^5\left[f\left(x\right)+g\left(x\right)\right]dx$ 

• 6

• 8

• 14

• 2

Suppose f and g are continuous functions and that the given statements are true. Use the properties of the definite integral to find

 $\int_1^5\left[g\left(x\right)+2\right]dx$ 

• 8

• 10

• 12

• 16

Suppose f and g are continuous functions and that the given statements are true. Use the properties of the definite integral to find

 $\int_1^5\ g\left(x\right)\ dx+2$ 

• 8

• 10

• 12

• 16

Suppose f and g are continuous functions and the given statements are true. Find the following:

 $\int_7^9\left[2f\left(x\right)+3g\left(x\right)\right]dx$  

• 5

• 9

• 14

• 22

Suppose f and h are continuous functions and the given statements are true. Find the following:

 $\int_9^9f\left(x\right)dx$  

• 0

• -1

• 5

• 6

Suppose f and h are continuous functions and the given statements are true. Find the following:

 $\int_1^7f\left(x\right)dx$  

• 6

• -6

• 1

• -1

Suppose f and h are continuous functions and the given statements are true. Find the following:

 $\int_9^7\left[h\left(x\right)-f\left(x\right)\right]dx$  

• -1

• 1

• 5

• 4

The graph of f consists of line segments and a semicircle, and the graph of g consists of line segments as shown in the given graphs.  Evaluate the integral using properties and geometry.

 $\int_{-2}^6f\left(x\right)\ dx$  

•  $2\pi-4$  

•  $-4\pi+4$  

•  $-2\pi+4$  

•  $-2\pi+8$