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Integration by Parts and Repeating Integrals Quiz

Integration by Parts and Repeating Integrals Quiz

Assessment

Interactive Video

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Hard

Created by

Jennifer Brown

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video tutorial?

Differentiating polynomial functions

Solving quadratic equations

Solving linear equations

Integrating exponential and trigonometric functions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first integration by parts example, what is chosen as 'u'?

sine of 3x

e to the 2x

2 e to the 2x

cosine of 3x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the antiderivative of cosine in the first example?

Cosine

Negative sine

Sine

Negative cosine

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second example, what is the antiderivative of sine?

Negative sine

Sine

Cosine

Negative cosine

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of combining like terms in the integration process?

To differentiate the function

To solve a quadratic equation

To simplify the expression

To find the derivative

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of distributing negative two-thirds in the expression?

Positive 2 over 9

Negative 2 over 9

Positive 4 over 9

Negative 4 over 9

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the original integral isolated in the final steps?

By dividing by a variable

By adding fractions

By multiplying by the reciprocal

By subtracting constants

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