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Worksheet: Using Definite Integrals Properties

In this worksheet, you will practice and sharpen your skills in using the definite integration properties such as the order of integration limits, zero-width limits, sums, and differences to solve problems.

Q1:

Write in the form .

A
B
C
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E

Q2:

If , determine the value of .

Q3:

If and , find .

Q4:

If and , find .

Q5:

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

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 . Given and , what is ?

Q9:

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

Q10:

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

Q11:

The function is continuous on and satisfies . Determine .

Q12:

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

Q13:

If and , determine the value of .

Q14:

If and , find

Q15:

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

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B
C
D
E

Q16:

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?

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B
C
D
E