U-Substitution in Integration Problems

U-Substitution in Integration Problems

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

Nancy introduces U-substitution, a technique to simplify integration by substituting a part of the integral with a new variable, U. She explains the process through various examples, including basic, complex, and trigonometric functions. The video covers how to choose the U expression, find the differential DU, and substitute back to the original variable. Nancy emphasizes the importance of manipulation in complex cases and concludes with encouragement to like and subscribe.

Read more

6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main purpose of using U-substitution in integration?

To find the derivative of a function

To simplify the integral for easier integration

To change the variable of integration

To solve differential equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a type of problem mentioned for U-substitution?

Basic power rule problems

Problems with trigonometric functions

Problems with logarithmic functions

Problems with fractions and square roots

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a basic U-substitution problem, what is typically chosen as the U expression?

The shortest expression in the integral

The constant term in the integral

The expression inside another function

The derivative of the integral

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When manipulating DU in a fraction and square root problem, what might you need to do?

Multiply by a constant

Divide by a number and a negative

Add a constant

Subtract a constant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a problem with a square root, what is a common step to make the substitution work?

Divide the U expression by a constant

Multiply the U expression by a constant

Rearrange the U expression by subtracting a number

Add a constant to the U expression

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a trigonometric function problem, what is a typical choice for the U expression?

The entire trigonometric function

The expression inside the power of the trig function

The derivative of the trig function

The constant term in the trig function

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?