Special Properties of The Definite Integral

(As found on page 307)

 

 

 

Properties of the Integral

(As found on page 307)

1. , where c is any constant

 

2.

 

3. , where c is any constant

 

4.

 

 

 

Combining Integrals of the same function over adjacent intervals

(As found on page 308)

 

5.   (Remember this works both ways.)

 

 

Comparison Properties of the Integral

(As found on page 309)

 

6. If  for , then .

 

7. If  for , then .

 

8. If   for , then .