# Worksheet: Definite Integral Properties

In this worksheet, we will practice using definite integration properties, 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

**Q2: **

Write in the form .

- A
- B
- C
- D
- E

**Q3: **

If , determine the value of .

**Q4: **

If and , find .

**Q5: **

If and , find .

**Q6: **

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

**Q7: **

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

**Q8: **

The function is continuous on and satisfies . Determine .

**Q9: **

If and , determine the value of .

**Q10: **

If and , find

**Q11: **

Suppose that on , the values of lie in the interval . Between which bounds does lie?

- A
- B
- C
- D
- E

**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 ?