Learn how to use u substitution to integrate a polynomial

Learn how to use u substitution to integrate a polynomial

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the process of finding U and DU for integration, addressing a problem with the initial setup, and solving it by dividing by 4. It then demonstrates the integration process, including handling constants, and concludes with the final steps to reach the solution.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial expression for U in the substitution method?

X squared + 5

X to the 3rd + 2

X to the 5th + 1

X to the 4th + 3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why was the initial substitution attempt problematic?

The variable was not defined

The expressions were not equal

The derivative was incorrect

The constant was missing

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What adjustment is made to the substitution to make it valid?

Add a constant

Divide by 4

Subtract a constant

Multiply by 4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of the constant factor during integration?

It is factored out

It is added to the integral

It is multiplied by the integral

It is ignored

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step after integrating with substitution?

Add a new variable

Differentiate the result

Substitute back the original expression

Multiply by the constant