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Definite Integrals and Their Properties

Definite Integrals and Their Properties

Assessment

Interactive Video

Mathematics

11th - 12th Grade

Hard

Created by

Jennifer Brown

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the integral when you switch the limits of integration?

The integral doubles.

The integral remains unchanged.

The integral becomes zero.

The integral changes sign.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the integral from a to a is calculated, what is the result?

The integral is equal to b.

The integral is undefined.

The integral is zero.

The integral is equal to a.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you calculate the total area from A to C if you have integrals from A to B and B to C?

Multiply the integrals from A to B and B to C.

Divide the integral from A to B by B to C.

Add the integrals from A to B and B to C.

Subtract the integral from B to C from A to B.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the area under the curve from -1 to 1 of H(x) if it is given as 7?

21

0

7

14

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between derivatives and integrals?

Integrals are the anti-derivatives of derivatives.

They are unrelated.

Derivatives are the anti-derivatives of integrals.

They are both the same.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the anti-derivative of x^n?

x^(n+1)/(n+1)

x^(n-1)/(n-1)

nx^(n-1)

nx^(n+1)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you evaluate the integral of a product of functions?

Change the product to a single power and integrate.

Separate the functions and integrate individually.

Use the quotient rule.

Use the product rule.

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