Learn how to evaluate the integral of a constant

Learn how to evaluate the integral of a constant

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of a definite integral, focusing on calculating the area under a curve. It begins with an introduction to the integral's components, followed by a graphical representation of the function F(x) = 4. The tutorial then demonstrates how to calculate the area of a rectangle formed by the function's graph, using the formula for area. The definite integral is determined to have a value of eight. The session concludes with an invitation for questions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the function F(x) defined as in the introduction?

A linear function

A quadratic function

A constant function

An exponential function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the function F(x) = 4 represented on the graph?

As a vertical line

As a curved line

As a diagonal line

As a horizontal line

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the endpoints of the definite integral discussed?

0 to 2

3 to 5

2 to 4

1 to 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to calculate the area of the rectangle?

Area = length + width

Area = length / width

Area = length * width

Area = length - width

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the definite integral calculated in the video?

10

4

6

8