# Worksheet: Properties of Definite Integrals

In this worksheet, we will practice using properties of definite integration, such as the order of integration limits, zero-width limits, sums, and differences.

**Q1: **

Suppose has absolute minimum value and absolute maximum value . Given that , which property of integrals allows you to decide between what two values must lie?

- A
- B
- C
- D
- E

**Q6: **

The function is continuous on . Given and , what is ?

**Q7: **

The function is continuous on . Given and , what is ?

**Q9: **

If and , determine the value of .

**Q10: **

If and , find

**Q12: **

The function is continuous on . Given and , what is ?

**Q13: **

The function is continuous on . Given and , what is ?

**Q14: **

The function is continuous on . Given and , what is ?

**Q15: **

The function is continuous on . Given and , what is ?

**Q18: **

If the even function is continuous over the interval , where , determine the value of .

**Q19: **

Determine .

**Q20: **

Determine .