Calculating Areas Using Integration

Calculating Areas Using Integration

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Olivia Brooks

FREE Resource

The video tutorial explores calculating composite areas A1 and A2 using integration. It begins with an introduction to the problem, followed by identifying the composite areas. The tutorial then explains the boundaries and calculation method for A1, and provides a detailed process for calculating A2. The video concludes with the total area calculation and discusses alternative methods.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two main areas of interest identified in the problem?

A valley and a hill

A valley and a molehill

A mountain and a molehill

A river and a valley

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many boundaries are used to define area A1?

Two

Three

Five

Four

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the x-intercept used in calculating area A1?

-1

2

1

0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the integral used to calculate area A1?

Integral from -1 to 1 of x^3 + 1 dx

Integral from 0 to 2 of x^3 + 1 dx

Integral from 0 to 1 of x^3 + 1 dx

Integral from -1 to 0 of x^3 + 1 dx

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does dx represent in the context of calculating area A2?

A diagonal width

A circular width

A horizontal width

A vertical width

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the x-value that corresponds to the upper bound for calculating area A2?

4

1

2

3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the difference between the integral and the rectangle in calculating area A2?

The integral is larger

The rectangle is larger

The integral is smaller

The rectangle is smaller

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?