Lesson Worksheet: Properties of Definite Integrals Mathematics • Higher Education

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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:

If , determine the value of .

Q2:

The function is continuous on and satisfies . Determine .

Q3:

If and , find

Q4:

If and , find .

Q5:

The function is continuous on . Write in the form .

Q6:

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

Q7:

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

Q8:

The function is odd, continuous on , and satisfies . Determine .

Q9:

The function is even, continuous on , and satisfies and . Determine .

Q10:

Determine .

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