Integration Techniques and Concepts

Integration Techniques and Concepts

Assessment

Interactive Video

Mathematics

11th - 12th Grade

Practice Problem

Hard

Created by

Mia Campbell

FREE Resource

The video tutorial guides viewers through solving a complex integration problem by reshaping the problem, completing the square, and using integration techniques. The instructor emphasizes simplifying the problem to a familiar form and discusses the advantages of their method over partial fractions.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step suggested to simplify the expression?

Change the variable of integration

Multiply the numerator by a constant

Separate the numerator into two parts

Add a constant to the denominator

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of the substitution in the integration process?

To eliminate the variable

To increase the degree of the polynomial

To simplify the expression for easier integration

To change the limits of integration

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the integral of 1 with respect to theta?

Theta squared

Theta

1

Zero

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the expression transformed into a standard form?

By changing the variable of integration

By adding a constant to the numerator

By completing the square

By multiplying by a constant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of completing the square for the expression t^2 + t?

(t + 1)^2

(t + 0.5)^2 + 0.75

(t + 0.5)^2 - 0.25

(t - 0.5)^2 + 0.25

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of the reverse chain rule in the integration process?

To change the variable of integration

To integrate the function directly

To simplify the expression

To find the derivative of the function

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the square root of three quarters expressed as a square?

1.5

0.75

0.5

Root 3 over 2

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?